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统计数据
常见 微积分 问题
derivative of-(cos(2x)/2)
d
dx
(
−
cos
(
2
x
)
2
)
integral of t^5ln(t)
∫
t
5
ln
(
t
)
dt
derivative e^{(e^{(x)}-x)}
derivative
e
(
e
(
x
)
−
x
)
derivative f(x)=tan(4x^2-3x-4)
derivative
f
(
x
)
=
tan
(
4
x
2
−
3
x
−
4
)
tangent f(x)=2x^2+3x,(-3,9)
tangent
f
(
x
)
=
2
x
2
+
3
x
,
(
−
3
,
9
)
derivative of (x^3-1^4)
d
dx
(
(
x
3
−
1
)
4
)
(\partial)/(\partial x)(sqrt(11-4x^2-y^2))
∂
∂
x
(
√
1
1
−
4
x
2
−
y
2
)
derivative (19x^2)/2
derivative
1
9
x
2
2
(\partial)/(\partial x)(2x^3y^2cos(6x^3y))
∂
∂
x
(
2
x
3
y
2
cos
(
6
x
3
y
)
)
integral of 7/(sec(x)-1)
∫
7
sec
(
x
)
−
1
dx
sum from k=1 to infinity of (5k)/(e^{2k)}
∑
k
=
1
∞
5
k
e
2
k
derivative of ((2+e^x/3)^9)
d
dx
(
(
2
+
e
x
3
)
9
)
integral of (e^{2x})/(e^{5-x)}
∫
e
2
x
e
5
−
x
dx
integral of (40)/(1-cos(8x))
∫
4
0
1
−
cos
(
8
x
)
dx
limit as x approaches infinity of 67
lim
x
→
∞
(
6
7
)
integral from-2 to x of (x+2)/3
∫
−
2
x
x
+
2
3
dx
derivative (sqrt(3))/(x^9)
derivative
√
3
x
9
limit as x approaches infinity of (x+1)^{x+2}
lim
x
→
∞
(
(
x
+
1
)
x
+
2
)
(dx)/(dt)=(4x^2+7tsqrt(4t^2+x^2))/(4tx)
dx
dt
=
4
x
2
+
7
t
√
4
t
2
+
x
2
4
tx
derivative of-(81/((1+9x)^2))
d
dx
(
−
8
1
(
1
+
9
x
)
2
)
面积 y=5x^2,y=30x-45,[0,45]
area
y
=
5
x
2
,
y
=
3
0
x
−
4
5
,
[
0
,
4
5
]
y^{''}+25y=cos(5t)
y
′
′
+
2
5
y
=
cos
(
5
t
)
derivative Y=Y=ln(sqrt(x-3))
derivative
Y
=
Y
=
ln
(
√
x
−
3
)
integral of sin(2x)*e^x
∫
sin
(
2
x
)
·
e
x
dx
integral of arctan(x^2)
∫
arctan
(
x
2
)
dx
integral from 0 to 1/5 of 2arcsin(5y)
∫
0
1
5
2
arcsin
(
5
y
)
dy
derivative f(x)=sin(x)csc(x)
derivative
f
(
x
)
=
sin
(
x
)
csc
(
x
)
化简 (sec(x)+tan(x))(sec(x)-tan(x))
simplify
(
sec
(
x
)
+
tan
(
x
)
)
(
sec
(
x
)
−
tan
(
x
)
)
integral of 1/(64e^{-3x)+e^{3x}}
∫
1
6
4
e
−
3
x
+
e
3
x
dx
sum from n=0 to infinity of sin(npi)
∑
n
=
0
∞
sin
(
n
π
)
(2x^3-xy^2-2y+3)dx-(x^2y+2x)dy=0
(
2
x
3
−
xy
2
−
2
y
+
3
)
dx
−
(
x
2
y
+
2
x
)
dy
=
0
laplace变换 t^2e^{3t}
laplacetransform
t
2
e
3
t
integral of sin^2(4x)cos^2(4x)
∫
sin
2
(
4
x
)
cos
2
(
4
x
)
dx
derivative of 5^{sin(pix})
d
dx
(
5
sin
(
π
x
)
)
derivative (e^x)/1
derivative
e
x
1
d/(du)(4sqrt(u))
d
du
(
4
√
u
)
integral of (3x-3)/(x^2-x-2)
∫
3
x
−
3
x
2
−
x
−
2
dx
integral of 0.5e^{-0.5(x-1)}
∫
0
.
5
e
−
0
.
5
(
x
−
1
)
dx
derivative of 1/(sqrt(x^4+x^2+1))
d
dx
(
1
√
x
4
+
x
2
+
1
)
limit as x approaches-2 of x+2
lim
x
→
−
2
(
x
+
2
)
sum from n=0 to infinity of 3/(3^n)
∑
n
=
0
∞
3
3
n
partialfraction (x^2)/(x^2-9)
partialfraction
x
2
x
2
−
9
limit as x approaches 0 of ((3e^x-3))/x
lim
x
→
0
(
(
3
e
x
−
3
)
x
)
integral of+(x)
∫
+
(
x
)
dx
integral of 4tan^4(xse)c^6x
∫
4
tan
4
(
xse
)
c
6
xdx
limit as x approaches-infinity of (1+1/x)^{2x}
lim
x
→
−
∞
(
(
1
+
1
x
)
2
x
)
derivative 9/(x+2)
derivative
9
x
+
2
integral of 3x^2+10x-5
∫
3
x
2
+
1
0
x
−
5
dx
limit as x approaches-2-of-3x^2-5x+3
lim
x
→
−
2
−
(
−
3
x
2
−
5
x
+
3
)
integral of 10csc^2(x)-sin(x)
∫
1
0
csc
2
(
x
)
−
sin
(
x
)
dx
(x^2+1)(dy)/(dx)+6x(y-1)=0
(
x
2
+
1
)
dy
dx
+
6
x
(
y
−
1
)
=
0
derivative 5sin(t)cos(t)
derivative
5
sin
(
t
)
cos
(
t
)
cos(x),sin(2x),x=0,x= pi/2
cos
(
x
)
,
sin
(
2
x
)
,
x
=
0
,
x
=
π
2
derivative ln(x)sqrt(x)
derivative
ln
(
x
)
√
x
tangent f(x)=x^4+4e^x,(0,4)
tangent
f
(
x
)
=
x
4
+
4
e
x
,
(
0
,
4
)
(dy)/(dt)=-2(y-4)
dy
dt
=
−
2
(
y
−
4
)
integral of (sqrt(x^2+16))/(x^4)
∫
√
x
2
+
1
6
x
4
dx
limit as x approaches 1 of x^2+3x-4
lim
x
→
1
(
x
2
+
3
x
−
4
)
derivative ((x^2e^x))/(x^2+e^x)
derivative
(
x
2
e
x
)
x
2
+
e
x
derivative of 5e^x(cos(x-sin(x)))
d
dx
(
5
e
x
(
cos
(
x
)
−
sin
(
x
)
)
)
(dy)/(dx)=(x-8)e^{-2y},y(8)=ln(8)
dy
dx
=
(
x
−
8
)
e
−
2
y
,
y
(
8
)
=
ln
(
8
)
derivative of tan^4(x)
d
dx
(
tan
4
(
x
)
)
(dy)/(dx)=(xsqrt(1-y^2))
dy
dx
=
(
x
√
1
−
y
2
)
integral of 3tan^3(θ)
∫
3
tan
3
(
θ
)
d
θ
y^'=xy^2(1+x^2)^{-1/2},y(0)=2
y
′
=
xy
2
(
1
+
x
2
)
−
1
2
,
y
(
0
)
=
2
斜率 (4,1),(6,7)
slope
(
4
,
1
)
,
(
6
,
7
)
(\partial)/(\partial x)((1+2/y)cos(x))
∂
∂
x
(
(
1
+
2
y
)
cos
(
x
)
)
derivative of 3cos(x^2-1)
d
dx
(
3
cos
(
x
2
−
1
)
)
integral from 5 to 7 of 1/(4+(x-5)^2)
∫
5
7
1
4
+
(
x
−
5
)
2
dx
derivative of sqrt(x^3)-\sqrt[3]{x^5}
d
dx
(
√
x
3
−
3
√
x
5
)
limit as x approaches 2 of x(x+4)
lim
x
→
2
(
x
(
x
+
4
)
)
tangent (x^2)/(x-7)
tangent
x
2
x
−
7
integral of 1/(x-3)
∫
1
x
−
3
dx
integral of 5^{cos(3x)}sin(3x)
∫
5
cos
(
3
x
)
sin
(
3
x
)
dx
derivative f(x)=9e^x
derivative
f
(
x
)
=
9
e
x
derivative of (2x+3/(3x-2))
d
dx
(
2
x
+
3
3
x
−
2
)
泰勒 e^{2x}-x
taylor
e
2
x
−
x
10y^{''}-10y^'+125y=0
1
0
y
′
′
−
1
0
y
′
+
1
2
5
y
=
0
limit as x approaches infinity of (1+1/(6x))^{5x}
lim
x
→
∞
(
(
1
+
1
6
x
)
5
x
)
laplace变换 3t^2
laplacetransform
3
t
2
integral from 0 to 3 of 5e^{-3x}
∫
0
3
5
e
−
3
x
dx
integral of (1-x)/(1-sqrt(x))
∫
1
−
x
1
−
√
x
dx
limit as x approaches+(-infinity)+of-x^2
lim
x
→
+
(
−
∞
)
+
(
−
x
2
)
integral from 0 to 1 of 4/(x^2)
∫
0
1
4
x
2
dx
limit as x approaches 0+of x^{-4/(ln(x))}
lim
x
→
0
+
(
x
−
4
ln
(
x
)
)
limit as x approaches 0-of (-1)/x
lim
x
→
0
−
(
−
1
x
)
derivative y=log_{5}(sqrt(5x+4))
derivative
y
=
log
5
(
√
5
x
+
4
)
(\partial)/(\partial y)(sqrt(4-x^2-4y^2))
∂
∂
y
(
√
4
−
x
2
−
4
y
2
)
sum from n=0 to infinity of 10^nx^n
∑
n
=
0
∞
1
0
n
x
n
integral of x^2e^{10x}
∫
x
2
e
1
0
x
dx
derivative y=(1+xf(x))/(sqrt(x))
derivative
y
=
1
+
xf
(
x
)
√
x
(\partial)/(\partial x)((x-y)^4)
∂
∂
x
(
(
x
−
y
)
4
)
integral of (8+7x)/(1+x^2)
∫
8
+
7
x
1
+
x
2
dx
tangent f(x)=x^2-2,\at x=0
tangent
f
(
x
)
=
x
2
−
2
,
at
x
=
0
integral of (2x^3-4x^2+18x)/(x^2+9)
∫
2
x
3
−
4
x
2
+
1
8
x
x
2
+
9
dx
integral of sqrt(x)sqrt(x\sqrt{x)+7}
∫
√
x
√
x
√
x
+
7
dx
integral from 0 to pi/4 of sin^4(x)
∫
0
π
4
sin
4
(
x
)
dx
2y^'=4tcos(t)y^2,y(0)=1
2
y
′
=
4
t
cos
(
t
)
y
2
,
y
(
0
)
=
1
integral of 25x^{3/2}
∫
2
5
x
3
2
dx
derivative of (x^2(x+1)^{1/3})
d
dx
(
(
x
2
)
(
x
+
1
)
1
3
)
1
..
1400
1401
1402
1403
1404
..
2459