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integral of 1/(7x+2)
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\int\:\frac{1}{7x+2}dx
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derivative of-y^2x
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\frac{d}{dx}(-y^{2}x)
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integral of (e^{-x})/((9e^{-2x)+1)^{3/2}}
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\int\:\frac{e^{-x}}{(9e^{-2x}+1)^{\frac{3}{2}}}dx
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integral of 4x^3-3/(x^4)
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\int\:4x^{3}-\frac{3}{x^{4}}dx
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integral of (2x-4)/((x^2-4x+20)^2)
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\int\:\frac{2x-4}{(x^{2}-4x+20)^{2}}dx
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integral of 8/(x^2sqrt(x^2+16))
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\int\:\frac{8}{x^{2}\sqrt{x^{2}+16}}dx
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derivative of (cos(x))/(x^5)
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derivative\:of\:\frac{\cos(x)}{x^{5}}
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derivative of x/(6-x)
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\frac{d}{dx}(\frac{x}{6-x})
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derivative of y=3x^2+12x+6
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derivative\:of\:y=3x^{2}+12x+6
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limit as x approaches 2 of 8-3x+12x^2
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\lim_{x\to\:2}(8-3x+12x^{2})
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derivative of (56/(x^9))
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\frac{d}{dx}(\frac{56}{x^{9}})
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integral from 0 to 3 of 1/x
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\int_{\:0}^{3}\frac{1}{x}dx
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derivative of (27/((x+5)^{4/3)})
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\frac{d}{dx}(\frac{27}{(x+5)^{\frac{4}{3}}})
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integral of sin(t)*sin(t)
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\int\:\sin(t)\cdot\:\sin(t)dt
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limit as n approaches infinity of 7n^{5/4}
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\lim_{n\to\:\infty\:}(7n^{\frac{5}{4}})
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y^'-y=9te2t,y(0)=1
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y^{\prime\:}-y=9te2t,y(0)=1
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integral of-(1-cos^2(x))/(cos(x))
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\int\:-\frac{1-\cos^{2}(x)}{\cos(x)}dx
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integral from 0 to (pi)/4 of cos^4(x)
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\int_{\:0}^{\frac{\pi}{4}}\cos^{4}(x)dx
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derivative of 25x^4+30x^3-11x^2-12x+4
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derivative\:of\:25x^{4}+30x^{3}-11x^{2}-12x+4
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(5t+3y+6)dt-dy=0
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(5t+3y+6)dt-dy=0
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y^'-3y=9x
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y^{\prime\:}-3y=9x
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(dy)/(dx)=2-y-y^2
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\frac{dy}{dx}=2-y-y^{2}
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limit as x approaches infinity of sqrt(81x^2+x-9x)
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\lim_{x\to\:\infty\:}(\sqrt{81x^{2}+x-9x})
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勾配 (-3,-1)(8,2)
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勾配\:(-3,-1)(8,2)
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(\partial)/(\partial x)(x^4-x^3y+xy^3-y^4)
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\frac{\partial\:}{\partial\:x}(x^{4}-x^{3}y+xy^{3}-y^{4})
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limit as x approaches 0 of 1/x+1/(|x|)
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\lim_{x\to\:0}(\frac{1}{x}+\frac{1}{|x|})
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derivative of y=(x^6)/6+1/(16x^4)
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derivative\:of\:y=\frac{x^{6}}{6}+\frac{1}{16x^{4}}
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integral from-1 to 1 of (x^2)/(1+x^6)
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\int_{\:-1}^{1}\frac{x^{2}}{1+x^{6}}dx
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derivative of (cos(x))/(e^x)
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derivative\:of\:\frac{\cos(x)}{e^{x}}
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integral of (7x^2-4x)e^{2x}
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\int\:(7x^{2}-4x)e^{2x}dx
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limit as x approaches 1 of ((x^5-1))/(x^3-1)
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\lim_{x\to\:1}(\frac{(x^{5}-1)}{x^{3}-1})
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tangent of-0.025x^2+4x
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tangent\:of\:-0.025x^{2}+4x
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integral of 7e^{9x}
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\int\:7e^{9x}dx
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partial derivative of y^2sin(xy)
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\frac{\partial}{\partial\:x}y^{2}\sin(xy)
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integral of (5^{3x}+cosh(x))
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\int\:(5^{3x}+\cosh(x))dx
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limit as x approaches 3 of 2^x
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\lim_{x\to\:3}(2^{x})
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integral of tan^5(x)sec^9(x)
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\int\:\tan^{5}(x)\sec^{9}(x)dx
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integral of y*e^{-y}
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\int\:y\cdot\:e^{-y}dy
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integral of (8x^2+9x+8)/((x^2+1)^2)
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\int\:\frac{8x^{2}+9x+8}{(x^{2}+1)^{2}}dx
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sum from n=0 to infinity of (3/7)^n
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\sum_{n=0}^{\infty\:}(\frac{3}{7})^{n}
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(dy)/(dx)=9x^3
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\frac{dy}{dx}=9x^{3}
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derivative of cot(pix*sec(pi)x)
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\frac{d}{dx}(\cot(π)x\cdot\:\sec(π)x)
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derivative of 5x+6
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derivative\:of\:5x+6
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derivative of f(x)=ln(x+sqrt(x^2-12))
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derivative\:of\:f(x)=\ln(x+\sqrt{x^{2}-12})
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tangent of y=(-2x)/((x^2+1))
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tangent\:of\:y=\frac{-2x}{(x^{2}+1)}
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limit as x approaches 0 of x/0
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\lim_{x\to\:0}(\frac{x}{0})
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limit as x approaches-2 of x^2+3x-7
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\lim_{x\to\:-2}(x^{2}+3x-7)
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partial derivative of-xyz^2+1
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\frac{\partial}{\partial\:x}(-xyz^{2}+1)
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-e^xx+3e^x
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-e^{x}x+3e^{x}
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integral of (-1)/4 e^{-4x}3x^2
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\int\:\frac{-1}{4}e^{-4x}3x^{2}dx
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integral of 15(x+2)^4
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\int\:15(x+2)^{4}dx
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y^'=y(1-y),y(0)=-5
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y^{\prime\:}=y(1-y),y(0)=-5
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sum from n=0 to infinity of 1/((1+n)^2)
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\sum_{n=0}^{\infty\:}\frac{1}{(1+n)^{2}}
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(-2e^xsin(y)+3y)dx+(3x-2e^xcos(y))dy=0
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(-2e^{x}\sin(y)+3y)dx+(3x-2e^{x}\cos(y))dy=0
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(2y+2t-9)dt+(8y+2t-1)dy=0
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(2y+2t-9)dt+(8y+2t-1)dy=0
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derivative of 3cos(3x)
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\frac{d}{dx}(3\cos(3x))
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derivative of 4x^{5/4}+10x^{3/2}+5x
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derivative\:of\:4x^{\frac{5}{4}}+10x^{\frac{3}{2}}+5x
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勾配 (1,-2)\land (3,1)
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勾配\:(1,-2)\land\:(3,1)
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y^{''}+36y=-60sin(6t)
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y^{\prime\:\prime\:}+36y=-60\sin(6t)
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(dy)/(dt)=-2(1+y^2)tan(2t)
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\frac{dy}{dt}=-2(1+y^{2})\tan(2t)
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derivative of ((sqrt(x)-7)/(sqrt(x)+7))
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\frac{d}{dx}(\frac{(\sqrt{x}-7)}{\sqrt{x}+7})
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integral of e^{2x}sin(3x)
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\int\:e^{2x}\sin(3x)dx
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integral from 1 to 12 of 1/(x-9)
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\int_{\:1}^{12}\frac{1}{x-9}dx
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sum from n=1 to infinity of 1/(n+4)
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\sum_{n=1}^{\infty\:}\frac{1}{n+4}
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partial derivative of x*e^x+ln(xy)
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\frac{\partial}{\partial\:x}(x\cdot\:e^{x}+\ln(x)y)
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integral of-7ln(x^2-1)
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\int\:-7\ln(x^{2}-1)dx
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sum from n=2 to infinity of 1/(n(n-1))
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\sum_{n=2}^{\infty\:}\frac{1}{n(n-1)}
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implicit derivative (dy)/(dx),4y2-5y+8=2x2-3x
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implicit\:derivative\:\frac{dy}{dx},4y2-5y+8=2x2-3x
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integral of 2x(1+x^2)^2
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\int\:2x(1+x^{2})^{2}dx
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y^{''}-4y^'+4y=2e^{2x}
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y^{\prime\:\prime\:}-4y^{\prime\:}+4y=2e^{2x}
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derivative of 5e^{-x}+e^{3x}
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\frac{d}{dx}(5e^{-x}+e^{3x})
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derivative of ln(x/(1+x^2))
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\frac{d}{dx}(\ln(\frac{x}{1+x^{2}}))
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integral of (2x)/((1+x^2)^2)
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\int\:\frac{2x}{(1+x^{2})^{2}}dx
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derivative of (7x/(x-1))
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\frac{d}{dx}(\frac{7x}{x-1})
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面積 y=14x,y=x^2
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面積\:y=14x,y=x^{2}
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derivative of 4x^{2/3}
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derivative\:of\:4x^{\frac{2}{3}}
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integral of 6cos^5(x)sin^4(x)
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\int\:6\cos^{5}(x)\sin^{4}(x)dx
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面積 x^{1/2},x=9
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面積\:x^{\frac{1}{2}},x=9
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(\partial)/(\partial x)(bxe^{2xy})
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\frac{\partial\:}{\partial\:x}(bxe^{2xy})
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integral of sqrt(4x^2+9x^4)
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\int\:\sqrt{4x^{2}+9x^{4}}dx
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derivative of 10^{nx}
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\frac{d}{dx}(10^{nx})
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derivative of f(x)=(14)/((x+4)^3)
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derivative\:of\:f(x)=\frac{14}{(x+4)^{3}}
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limit as x approaches 0 of x^x
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\lim_{x\to\:0}(x^{x})
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(dy}{dx}=\frac{cos(x))/y
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\frac{dy}{dx}=\frac{\cos(x)}{y}
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sum from n=1 to infinity of (5n)/(2n-1)
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\sum_{n=1}^{\infty\:}\frac{5n}{2n-1}
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integral of tk
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\int\:tkdt
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integral from 0 to 1 of x-1
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\int_{\:0}^{1}x-1dx
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derivative of (8/(sqrt(x)))
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derivative\:of\:(\frac{8}{\sqrt{x}})
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integral of sec^2(x/3)
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\int\:\sec^{2}(\frac{x}{3})dx
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integral of (x^5+4)^{12}x^4
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\int\:(x^{5}+4)^{12}x^{4}dx
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integral of (x^2+1)/((x-2)^3)
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\int\:\frac{x^{2}+1}{(x-2)^{3}}dx
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integral of (x+2)/(x^2)
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\int\:\frac{x+2}{x^{2}}dx
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面積 2^x,-4,4
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面積\:2^{x},-4,4
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integral of (3^x)/(3-3^x)
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\int\:\frac{3^{x}}{3-3^{x}}dx
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derivative of (ln(x)/(sin(x)))
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\frac{d}{dx}(\frac{\ln(x)}{\sin(x)})
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integral of 1/((2-3x))
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\int\:\frac{1}{(2-3x)}dx
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integral of 7/(x^2)
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\int\:\frac{7}{x^{2}}dx
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(\partial)/(\partial x)(ln(4x))
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\frac{\partial\:}{\partial\:x}(\ln(4x))
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integral of 20x^3
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\int\:20x^{3}dx
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(dQ)/(dt)=0.03(1-Q)^{2/3}
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\frac{dQ}{dt}=0.03(1-Q)^{\frac{2}{3}}
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