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Functions & Graphing
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前微積分
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統計
人気の高い微分積分問題
integral of ((sqrt(x)+8)^6)/(2sqrt(x))
∫
(
√
x
+
8
)
6
2
√
x
dx
derivative 6-6x
derivative
6
−
6
x
integral of (sqrt(x^3))
∫
(
√
x
3
)
dx
derivative y=ln(x+1)
derivative
y
=
ln
(
x
+
1
)
derivative of (sin(ln(x))^2)
d
dx
(
(
sin
(
ln
(
x
)
)
)
2
)
integral of 6/(35sin(x)-12cos(x))
∫
6
3
5
sin
(
x
)
−
1
2
cos
(
x
)
dx
y^{''}+2y^'+3y=0,y(0)=1,y^'(0)=0
y
′
′
+
2
y
′
+
3
y
=
0
,
y
(
0
)
=
1
,
y
′
(
0
)
=
0
inverselaplace tcos(3t)
inverselaplace
t
cos
(
3
t
)
tangent x^3+y^3=3xy,(3/2 , 3/2)
tangent
x
3
+
y
3
=
3
xy
,
(
3
2
,
3
2
)
(\partial)/(\partial x)(5e^{4x})
∂
∂
x
(
5
e
4
x
)
derivative (1+8x)/(9-2x)
derivative
1
+
8
x
9
−
2
x
limit as x approaches 1 of 9sqrt(3x^2+1)
lim
x
→
1
(
9
√
3
x
2
+
1
)
y^'=12x
y
′
=
1
2
x
derivative of 2/(sqrt(x+1))
d
dx
(
2
√
x
+
1
)
integral of (2x)/(sqrt(1-x^4))
∫
2
x
√
1
−
x
4
dx
勾配 (-2.9)(-1.7)
slope
(
−
2
.
9
)
(
−
1
.
7
)
derivative of sin^{sqrt(x)}(x)
d
dx
(
sin
√
x
(
x
)
)
tangent f(x)=5x-9x^2,\at x=1
tangent
f
(
x
)
=
5
x
−
9
x
2
,
at
x
=
1
derivative of-8cos(x)
d
dx
(
−
8
cos
(
x
)
)
derivative e^xx+2e^x
derivative
e
x
x
+
2
e
x
integral of (8+x)/(sqrt(64-x^2))
∫
8
+
x
√
6
4
−
x
2
dx
integral of 4+8cos(θ)+4cos^2(θ)
∫
4
+
8
cos
(
θ
)
+
4
cos
2
(
θ
)
d
θ
x^2+y^'=x^2
x
2
+
y
′
=
x
2
(\partial)/(\partial x)(6xe^y)
∂
∂
x
(
6
xe
y
)
integral of (-4(ln(x))^4)/x
∫
−
4
(
ln
(
x
)
)
4
x
dx
derivative f(x)=(x^2+9)/(sqrt(x))
derivative
f
(
x
)
=
x
2
+
9
√
x
integral of 3csc^2(t)-5sec(t)tan(t)
∫
3
csc
2
(
t
)
−
5
sec
(
t
)
tan
(
t
)
dt
limit as x approaches 8-of 1/((x-8)^2)
lim
x
→
8
−
(
1
(
x
−
8
)
2
)
integral of xe^{2x+1}
∫
xe
2
x
+
1
dx
limit as x approaches 0 of x/(x^2-6x)
lim
x
→
0
(
x
x
2
−
6
x
)
tangent f(x)=(5x-7)/(x+1),\at x=0
tangent
f
(
x
)
=
5
x
−
7
x
+
1
,
at
x
=
0
tangent f(x)=x^2-2,\at x=-5
tangent
f
(
x
)
=
x
2
−
2
,
at
x
=
−
5
limit as x approaches 0 of 2x^2-9x+5
lim
x
→
0
(
2
x
2
−
9
x
+
5
)
derivative 1/((x^2+1)^4)
derivative
1
(
x
2
+
1
)
4
(\partial)/(\partial z)(x^2y+y^2z)
∂
∂
z
(
x
2
y
+
y
2
z
)
sum from n=1 to infinity of n/(n(n+3))
∑
n
=
1
∞
n
n
(
n
+
3
)
(\partial)/(\partial x)(4e^{x-y})
∂
∂
x
(
4
e
x
−
y
)
(dy)/(dx)=e^{2.3x-1.9y}
dy
dx
=
e
2
.
3
x
−
1
.
9
y
integral of sec^4((3x)/2)tan^2((3x)/2)
∫
sec
4
(
3
x
2
)
tan
2
(
3
x
2
)
dx
inverselaplace-(e^{-s})/(((s^2+4)*s^2))
inverselaplace
−
e
−
s
(
(
s
2
+
4
)
·
s
2
)
integral of 4xy^2+3x^2
∫
4
xy
2
+
3
x
2
dx
derivative y=cos(a^8+x^8)
derivative
y
=
cos
(
a
8
+
x
8
)
derivative of 2csc^2(xcot(x))
d
dx
(
2
csc
2
(
x
)
cot
(
x
)
)
derivative of (4x^{2/3}/(x^2+1))
d
dx
(
4
x
2
3
x
2
+
1
)
integral of 1/((x+1)sqrt(x^2+2x-15))
∫
1
(
x
+
1
)
√
x
2
+
2
x
−
1
5
dx
limit as x approaches 3+of 2/(x^2-9)
lim
x
→
3
+
(
2
x
2
−
9
)
derivative (e^x)/(5x^6)
derivative
e
x
5
x
6
limit as x approaches-3 of 2x^2+3x
lim
x
→
−
3
(
2
x
2
+
3
x
)
integral of 1/(at+b)
∫
1
at
+
b
dt
slopeintercept (1,-1),(-1,-2)
slopeintercept
(
1
,
−
1
)
,
(
−
1
,
−
2
)
integral from 0 to 1 of xe^{-x^2}
∫
0
1
xe
−
x
2
dx
integral of-1/(1+x^2)
∫
−
1
1
+
x
2
dx
integral of sin(-1(x))
∫
sin
(
−
1
(
x
)
)
dx
limit as x approaches 0-of (sec(x))/x
lim
x
→
0
−
(
sec
(
x
)
x
)
y^{''}+6y^'+6y=0,y(0)=1,y^'(0)=2
y
′
′
+
6
y
′
+
6
y
=
0
,
y
(
0
)
=
1
,
y
′
(
0
)
=
2
derivative of (x-1^2+y^2)
d
dx
(
(
x
−
1
)
2
+
y
2
)
derivative f(x)=x^3+2x
derivative
f
(
x
)
=
x
3
+
2
x
tangent 2x^3+4x^2-x+2
tangent
2
x
3
+
4
x
2
−
x
+
2
derivative y=(x-4)/x
derivative
y
=
x
−
4
x
limit as x approaches-10 of f(x)
lim
x
→
−
1
0
(
f
(
x
)
)
limit as x approaches 3-of (x+3)/(x^2-9)
lim
x
→
3
−
(
x
+
3
x
2
−
9
)
integral of 4/(sqrt(e^t))
∫
4
√
e
t
dt
integral of 1/(4sin(x)+3cos(x))
∫
1
4
sin
(
x
)
+
3
cos
(
x
)
dx
derivative of e^{-x^2-y^2}cos(xy)
d
dx
(
e
−
x
2
−
y
2
cos
(
xy
)
)
sum from n=1 to infinity of n^2e^{-n^3}
∑
n
=
1
∞
n
2
e
−
n
3
inverselaplace 6/(s^2+9)
inverselaplace
6
s
2
+
9
limit as x approaches 3-of 2/((x-3))
lim
x
→
3
−
(
2
(
x
−
3
)
)
(\partial)/(\partial u(v))((e^v)/(u(v)+v^9))
∂
∂
u
(
v
)
(
e
v
u
(
v
)
+
v
9
)
integral of (\sqrt[4]{x})/(4+sqrt(x))
∫
4
√
x
4
+
√
x
dx
derivative 0.3x^35^x
derivative
0
.
3
x
3
5
x
derivative sqrt(5x^2-x)
derivative
√
5
x
2
−
x
(d^2)/(dx^2)(x^{1/3})
d
2
dx
2
(
x
1
3
)
integral from-1 to 3 of x^2e^{x^3+1}
∫
−
1
3
x
2
e
x
3
+
1
dx
integral of cot(14x)
∫
cot
(
1
4
x
)
dx
integral of sec^2(2y)
∫
sec
2
(
2
y
)
dy
derivative of 4(x+2^{3/2})
d
dx
(
4
(
x
+
2
)
3
2
)
(dy)/(dt)=-y/t-6
dy
dt
=
−
y
t
−
6
integral of ((e^x))/(e^{2x)+1}
∫
(
e
x
)
e
2
x
+
1
dx
sum from n=1 to infinity of (1^n)/(3^n)
∑
n
=
1
∞
1
n
3
n
inverselaplace s/(2s+1)
inverselaplace
s
2
s
+
1
(dy)/(dx)+3/x y=16y^3,y(1)=1
dy
dx
+
3
x
y
=
1
6
y
3
,
y
(
1
)
=
1
integral from-2 to 2 of 2-sqrt(4-x^2)
∫
−
2
2
2
−
√
4
−
x
2
dx
inverselaplace 1/(s+5)
inverselaplace
1
s
+
5
tangent f(x)=-5x^2,\at x=8
tangent
f
(
x
)
=
−
5
x
2
,
at
x
=
8
x(x+1)((dy)/(dx))+xy=1,y(e)=1
x
(
x
+
1
)
(
dy
dx
)
+
xy
=
1
,
y
(
e
)
=
1
integral of 1/(sqrt(9x-7))
∫
1
√
9
x
−
7
dx
y=y^'
y
=
y
′
d/(dy)(e^{-1/(y^3)})
d
dy
(
e
−
1
y
3
)
derivative of ((x(x-1)/(2x^2(x+1)))^3)
d
dx
(
(
x
(
x
−
1
)
2
x
2
(
x
+
1
)
)
3
)
derivative 11sqrt(x)
derivative
1
1
√
x
y^{''}-y^'-12y=e^{4x}
y
′
′
−
y
′
−
1
2
y
=
e
4
x
integral of (sin(x)tan(x))/1
∫
sin
(
x
)
tan
(
x
)
1
dx
integral from 0 to 4 of 1/(sqrt(16-x^2))
∫
0
4
1
√
1
6
−
x
2
dx
limit as x approaches 0+of x^{2x}
lim
x
→
0
+
(
x
2
x
)
(\partial)/(\partial t)(e^t)
∂
∂
t
(
e
t
)
sum from n=2 to infinity of (x^n)/n
∑
n
=
2
∞
x
n
n
dy+(3x^2y-x^2)dx=0
dy
+
(
3
x
2
y
−
x
2
)
dx
=
0
integral of cos(x+y)
∫
cos
(
x
+
y
)
dx
面積 9-x^2,4x
area
9
−
x
2
,
4
x
integral of 9-3x
∫
9
−
3
xdx
1
..
331
332
333
334
335
..
1823
