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人気の高い問題

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人気の高い微分積分問題

integral of (3+2cos(x))^2	∫ (3+2cos(`x`))²`dx`
limit as x approaches 2 of (6x)/(x-2)	lim _{x→ 2}(6`xx`−2 )
tangent f(x)=11sin(x),\at x=((3pi))/4	`tangent` `f`(`x`)=11sin(`x`),at `x`=(3π)4
integral from 1 to 4 of ((2x+1))/(2x)	∫ ₁⁴(2`x`+1)2`x` `dx`
integral of sin(2x)(3-cos(2x))^2	∫ sin(2`x`)(3−cos(2`x`))²`dx`
limit as x approaches 2 of 1/(x^2-4x+4)	lim _{x→ 2}(1`x`²−4`x`+4 )
inverselaplace 5/s-5/s e^{-5s}	`inverselaplace` 5`s` −5`s` `e`^−5s
sum from n=0 to infinity of-(-1)^{n+1}	∑ _n=0^∞−(−1)ⁿ⁺¹
derivative of 3/(4x^2)	`ddx` (34`x`² )
tangent f(x)=x^4-13x^2+36	`tangent` `f`(`x`)=`x`⁴−13`x`²+36
integral from 0 to 1 of (45)/(x^5)	∫ ₀¹45`x`⁵ `dx`
derivative (1+4/x)^x	`derivative` (1+4`x` )^x
(\partial)/(\partial x)(2e^{x-2}-y)	∂ ∂ `x` (2`e`^x−2−`y`)
derivative f(x)=(-x^2-1)/((x^2+1)^2)	`derivative` `f`(`x`)=−`x`²−1(`x`²+1)²
integral of sin(20x)sin(21x)	∫ sin(20`x`)sin(21`x`)`dx`
integral of x(1/x)	∫ `x`(1`x` )`dx`
derivative of (4x^2+5/(x^2+7))	`ddx` (4`x`²+5`x`²+7 )
(\partial)/(\partial y)(10-6y+e^{-3x})	∂ ∂ `y` (10−6`y`+`e`^−3x)
d/(dt)(3e^t)	`ddt` (3`e`^t)
derivative F(x)=(x^2)/(4+sqrt(x))	`derivative` `F`(`x`)=`x`²4+√`x`
(dy)/(dx)=y+y^3	`dydx` =`y`+`y`³
integral from-9 to 4 of \|x+5\|	∫ ₋₉⁴\|`x`+5\|`dx`
integral of x/(sqrt(x^2-6x+8))	∫ `x`√`x`²−6`x`+8 `dx`
x^'=x^2,x(0)=1	`x`^′=`x`²,`x`(0)=1
sum from n=0 to infinity of (1/2)^{2n+1}	∑ _n=0^∞(12 )²ⁿ⁺¹
derivative 1/(x+1/x)	`derivative` 1`x`+1`x`
limit as x approaches+(-0) of f(x)	lim _{x→ +(−0)}(`f`(`x`))
derivative of cos(2x-sin(x))	`ddx` (cos(2`x`)−sin(`x`))
integral from 1 to 16 of (x-7)/(sqrt(x))	∫ ₁¹⁶`x`−7√`x` `dx`
integral from 1 to e^5 of (ln^3(x^2))/x	∫ ₁^e⁵ln³(`x`²)`x` `dx`
integral of x^{-1/4}sqrt(1+x^{1/4)}	∫ `x`⁻¹⁴√1+`x`¹⁴`dx`
(\partial)/(\partial x)(5xcos(xy))	∂ ∂ `x` (5`x`cos(`xy`))
(\partial)/(\partial x)(-hk^2+k^4)	∂ ∂ `x` (−`hk`²+`k`⁴)
xy(dy)/(dx)=y^2+xsqrt(4x^2+y^2)	`xydydx` =`y`²+`x`√4`x`²+`y`²
(\partial}{\partial x}(\frac{-x)/y)	∂ ∂ `x` (−`xy` )
sum from n=1 to infinity of (2n+1)!	∑ _n=1^∞(2`n`+1)!
integral of 8/(x^3)	∫ 8`x`³ `dx`
integral from 0 to infinity of e^{-sx}	∫ ₀^∞`e`^−sx`dx`
勾配 (2.4)(16.14)	`slope` (2.4)(16.14)
(\partial)/(\partial x)((2x-y)/(2x+y))	∂ ∂ `x` (2`x`−`y`2`x`+`y` )
limit as x approaches 0 of (9sin(x))/(\sqrt[3]{x)}	lim _{x→ 0}(9sin(`x`)³√`x` )
derivative of 4xcos(x)	`ddx` (4`x`cos(`x`))
derivative of 2/3 x^{-1/3}	`ddx` (23 `x`⁻¹³)
integral of (x/y)	∫ (`xy` )`dy`
integral from 4 to infinity of e^{4x}	∫ ₄^∞`e`^4x`dx`
integral of sqrt(5-x^2)	∫ √5−`x`²`dx`
integral of x^3*sqrt(1-x^2)	∫ `x`³· √1−`x`²`dx`
面積 y=x^2(x-11),[-1,12]	`area` `y`=`x`²(`x`−11),[−1,12]
sum from n=1 to infinity of 1/(2n+7)	∑ _n=1^∞12`n`+7
inverselaplace 1/((s^2+4)(s^2+2s+2))	`inverselaplace` 1(`s`²+4)(`s`²+2`s`+2)
laplacetransform 2t*sin(t)	`laplacetransform` 2`t`· sin(`t`)
ty^'-y=(-t^3)/(y^2)	`ty`^′−`y`=−`t`³`y`²
7x((dy)/(dx))=2xe^x-7y+6x^2	7`x`(`dydx` )=2`xe`^x−7`y`+6`x`²
limit as x approaches 2 of (4x-3)(x^2+5)	lim _{x→ 2}((4`x`−3)(`x`²+5))
derivative arcsin(2/(x^2))	`derivative` arcsin(2`x`² )
integral from 4 to 9 of 2xsqrt(x)	∫ ₄⁹2`x`√`xdx`
sin(x)dy=ycos(x)dx	sin(`x`)`dy`=`y`cos(`x`)`dx`
y^{''}-2y^'+10y=0,y(0)=-2,y^'(0)=5	`y`^{′ ′}−2`y`^′+10`y`=0,`y`(0)=−2,`y`^′(0)=5
derivative of (8-3x^2^3)	`ddx` ((8−3`x`²)³)
y^'=xln(x),y(1)=2	`y`^′=`x`ln(`x`),`y`(1)=2
integral of x(2+x^3)^2	∫ `x`(2+`x`³)²`dx`
integral of In^2	∫ `In`²`dx`
integral of (1+cos(x))/(cos^2(x))	∫ 1+cos(`x`)cos²(`x`) `dx`
tangent f(x)=6x^2-6x,\at x=0	`tangent` `f`(`x`)=6`x`²−6`x`,at `x`=0
(dx)/(dt)=(x^2-1)t,x(0)=0	`dxdt` =(`x`²−1)`t`,`x`(0)=0
integral of sin^2(x	∫ sin²(`d`)`xdx`
derivative of 12x^3-12x^2	`ddx` (12`x`³−12`x`²)
integral of 7sin^5(x)cos^3(x)	∫ 7sin⁵(`x`)cos³(`x`)`dx`
(\partial)/(\partial y)(xe^{x^2-y})	∂ ∂ `y` (`xe`^x²−y)
integral of (3x+1)^7	∫ (3`x`+1)⁷`dx`
limit as x approaches-6+of (x+7)/(x+6)	lim _{x→ −6+}(`x`+7`x`+6 )
(\partial)/(\partial y)(cos(xy)x)	∂ ∂ `y` (cos(`xy`)`x`)
derivative of (x^2-2/3 ^{3/2})	`ddx` ((`x`²−23 )³²)
derivative 7/(ln(x))	`derivative` 7ln(`x`)
d/(dy)((x^2-y^2)/(x^2+y^2))	`ddy` (`x`²−`y`²`x`²+`y`² )
integral of (4x^3+3x^2+2x+1)	∫ (4`x`³+3`x`²+2`x`+1)`dx`
derivative 1/(sqrt(t))	`derivative` 1√`t`
integral from-1 to 2 of (x+2-x^2)	∫ ₋₁²(`x`+2−`x`²)`dx`
derivative of 9/(e^x+e^{-x})	`ddx` (9`e`^x+`e`^−x )
integral of (x^2)/(sqrt(1-2x^2))	∫ `x`²√1−2`x`² `dx`
(\partial)/(\partial x)(ln(3x^2+4y^2+2))	∂ ∂ `x` (ln(3`x`²+4`y`²+2))
sum from n=1 to infinity of x^n	∑ _n=1^∞`x`ⁿ
integral of x^6e^{-x}	∫ `x`⁶`e`^−x`dx`
(\partial)/(\partial y)(cos(yx^2))	∂ ∂ `y` (cos(`yx`²))
derivative-(12)/(x^6)	`derivative` −12`x`⁶
derivative cos(4x^2)	`derivative` cos(4`x`²)
integral of ((x+9))/(sqrt(x))	∫ (`x`+9)√`x` `dx`
integral of 1/(3-3x)	∫ 13−3`x` `dx`
xyy^'=1+y^2	`xyy`^′=1+`y`²
derivative f(x)=0.882x^{0.842}	`derivative` `f`(`x`)=0.882`x`^0.842
derivative of (4x+1sqrt(1+x)/(x^2-1))	`ddx` (4`x`+1√1+`xx`²−1 )
integral from 0 to 5 of f(t)	∫ ₀⁵`f`(`t`)`dt`
derivative-pisin(pix)	`derivative` −πsin(π`x`)
derivative of (x^4+1sech(2ln(x)))	`ddx` ((`x`⁴+1)sech(2ln(`x`)))
limit as x approaches 6+of f(x)	lim _{x→ 6+}(`f`(`x`))
y^'=(xy^'+y)	`y`^′=(`xy`^′+`y`)
derivative of (7x(2x-20^3)/(4x+9))	`ddx` (7`x`(2`x`−20)³4`x`+9 )
limit as x approaches 0+of x^{1/2}*ln(x)	lim _{x→ 0+}(`x`¹²· ln(`x`))
y^'=4x+y	`y`^′=4`x`+`y`
limit as x approaches 5 of x(x-2)	lim _{x→ 5}(`x`(`x`−2))

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