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统计数据
常见 微积分 问题
derivative f(x)=(ln(x))^2
derivative
f
(
x
)
=
(
ln
(
x
)
)
2
f(x)=-tan^2(x)
f
(
x
)
=
−
tan
2
(
x
)
y^{''}-4y=e^{2t}
y
′
′
−
4
y
=
e
2
t
derivative 3x^2ln(7x)
derivative
3
x
2
ln
(
7
x
)
xy^'+2y=x+2
xy
′
+
2
y
=
x
+
2
integral of 1/(tan^2(θ))sec^2(θ)
∫
1
tan
2
(
θ
)
sec
2
(
θ
)
d
θ
面积 25-x^2,x^2-25,-5,5
area
2
5
−
x
2
,
x
2
−
2
5
,
−
5
,
5
integral of sec^2(x/a)
∫
sec
2
(
x
a
)
dx
integral from 1/2 to 3 of 8xln(2x)
∫
1
2
3
8
x
ln
(
2
x
)
dx
r(dy)/(dr)=y^2+1
r
dy
dr
=
y
2
+
1
limit as t approaches 0 of ((tan(t)sec(2t)))/(3t)
lim
t
→
0
(
(
tan
(
t
)
sec
(
2
t
)
)
3
t
)
(\partial)/(\partial y)(xe^{xy}-2y+1)
∂
∂
y
(
xe
xy
−
2
y
+
1
)
tangent ln(x)
tangent
ln
(
x
)
d/(d{x)}(({x}^2+{y}^2+{z}^2)^{1/2})
d
d
x
(
(
x
2
+
y
2
+
z
2
)
1
2
)
derivative of 6ln(sec(x+tan(x)))
d
dx
(
6
ln
(
sec
(
x
)
+
tan
(
x
)
)
)
derivative cos^3(x)
derivative
cos
3
(
x
)
inverse拉普拉斯 1/(s^2(s^2+9))
inverselaplace
1
s
2
(
s
2
+
9
)
y^'-6/x y=(y^4)/(x^{15)}
y
′
−
6
x
y
=
y
4
x
1
5
limit as x approaches 1 of x^{9/(1-x)}
lim
x
→
1
(
x
9
1
−
x
)
derivative-6sin(t)
derivative
−
6
sin
(
t
)
integral of 1/(vln(v)-v)
∫
1
v
ln
(
v
)
−
v
dv
derivative ln(e^x+x)
derivative
ln
(
e
x
+
x
)
derivative sqrt(x+6)
derivative
√
x
+
6
derivative of (sqrt(x^2-3x-4)/x)
d
dx
(
√
x
2
−
3
x
−
4
x
)
4xy^'+y=20x
4
xy
′
+
y
=
2
0
x
integral of sec^4(3x)tan(3x)
∫
sec
4
(
3
x
)
tan
(
3
x
)
dx
integral of ((x^2-2x+5))/(x^2)
∫
(
x
2
−
2
x
+
5
)
x
2
dx
limit as x approaches 0 of (ex-1)/x
lim
x
→
0
(
ex
−
1
x
)
derivative f(x)=4(4t-1)^2
derivative
f
(
x
)
=
4
(
4
t
−
1
)
2
integral from-infinity to 0 of xe^{-7x}
∫
−
∞
0
xe
−
7
x
dx
f(x)=2xln(x)
f
(
x
)
=
2
x
ln
(
x
)
derivative-2xsin(x^2)
derivative
−
2
x
sin
(
x
2
)
limit as x approaches 15+of 15sqrt(x-15)
lim
x
→
1
5
+
(
1
5
√
x
−
1
5
)
integral of sin(x)*cos(2x)
∫
sin
(
x
)
·
cos
(
2
x
)
dx
d/(d{x)}(arcsin^4({x}^7{y}^2+({z})/({x)^3}))
d
d
x
(
arcsin
4
(
x
7
y
2
+
z
x
3
)
)
f^{''}(x)=x^3
f
′
′
(
x
)
=
x
3
derivative f(x)=3e^xcos(x)
derivative
f
(
x
)
=
3
e
x
cos
(
x
)
f(t)=e^{t^2}
f
(
t
)
=
e
t
2
integral of x/(sqrt(y+x^2))
∫
x
√
y
+
x
2
dx
7sqrt(xy)(dy)/(dx)=4
7
√
xy
dy
dx
=
4
integral of (2x+1)/(x-1)
∫
2
x
+
1
x
−
1
dx
laplace变换 sin(2t+5)
laplacetransform
sin
(
2
t
+
5
)
integral of (ln^2(x))/(x^{5/3)}
∫
ln
2
(
x
)
x
5
3
dx
limit as x approaches infinity of |1|
lim
x
→
∞
(
|
1
|
)
integral from 0 to t of e^u
∫
0
t
e
u
du
limit as x approaches infinity of 4^x
lim
x
→
∞
(
4
x
)
integral from-1 to 2 of (7-3x)
∫
−
1
2
(
7
−
3
x
)
dx
x(1+y^2)^{1/2}dx=y(1+x^2)^{1/2}dy
x
(
1
+
y
2
)
1
2
dx
=
y
(
1
+
x
2
)
1
2
dy
(dy)/(dx)+(3/x)y=-x-5
dy
dx
+
(
3
x
)
y
=
−
x
−
5
limit as x approaches 0 of (sin(1))/1
lim
x
→
0
(
sin
(
1
)
1
)
2(dy)/(dx)+y/x =x^2y^{-1}
2
dy
dx
+
y
x
=
x
2
y
−
1
(\partial)/(\partial h)(m/(h^2))
∂
∂
h
(
m
h
2
)
tangent 9x+2x^2
tangent
9
x
+
2
x
2
derivative of x^{-12}
d
dx
(
x
−
1
2
)
limit as x approaches 2 of x^2-4x
lim
x
→
2
(
x
2
−
4
x
)
y(2y^2-3x^2)dx+(2x^3)dy=0
y
(
2
y
2
−
3
x
2
)
dx
+
(
2
x
3
)
dy
=
0
limit as x approaches-1+of 1/(1+x)
lim
x
→
−
1
+
(
1
1
+
x
)
integral of (-3x^4+6x^3-5x^2)
∫
(
−
3
x
4
+
6
x
3
−
5
x
2
)
dx
derivative of 1/8 x-ln(2x)
d
dx
(
1
8
x
−
ln
(
2
x
)
)
derivative f(x)=5sqrt(x)ln(x)
derivative
f
(
x
)
=
5
√
x
ln
(
x
)
derivative of-3x^5+5x^3
d
dx
(
−
3
x
5
+
5
x
3
)
integral of 6/(\sqrt[3]{x)}
∫
6
3
√
x
dx
derivative y=t^3-2t+4
derivative
y
=
t
3
−
2
t
+
4
derivative (x^3)/3+(x^2)/2-6x+5
derivative
x
3
3
+
x
2
2
−
6
x
+
5
limit as x approaches 0 of ((2+x)^2+4)/x
lim
x
→
0
(
(
2
+
x
)
2
+
4
x
)
derivative 1/(x(5+ln(x)))
derivative
1
x
(
5
+
ln
(
x
)
)
(dy)/(dx)=2e^{(x-y)}
dy
dx
=
2
e
(
x
−
y
)
derivative of ae^{-x}+bxe^{-x}
d
dx
(
ae
−
x
+
bxe
−
x
)
tangent x^2+2xy+4y^2=12,(2,1)
tangent
x
2
+
2
xy
+
4
y
2
=
1
2
,
(
2
,
1
)
integral of (-x^2+6)^2-(x^2+4x)^2
∫
(
−
x
2
+
6
)
2
−
(
x
2
+
4
x
)
2
dx
tangent 2x^3
tangent
2
x
3
derivative-27
derivative
−
2
7
inverse拉普拉斯 1/(s(s^2+16))
inverselaplace
1
s
(
s
2
+
1
6
)
d/(ds)(1/(s^2+1))
d
ds
(
1
s
2
+
1
)
derivative 4x^3e^{-x}
derivative
4
x
3
e
−
x
integral of cos^3(x/5)
∫
cos
3
(
x
5
)
dx
tangent f(x)=(x^3-16x)^{14},(4,0)
tangent
f
(
x
)
=
(
x
3
−
1
6
x
)
1
4
,
(
4
,
0
)
limit as x approaches 8 of 5
lim
x
→
8
(
5
)
integral of e^{-y}
∫
e
−
y
dy
tangent 8x-x^2,\at x=1
tangent
8
x
−
x
2
,
at
x
=
1
2y^'+y=0
2
y
′
+
y
=
0
integral from-1 to 1 of t^2-2
∫
−
1
1
t
2
−
2
dt
integral of 1/2 (2cos(θ))^2
∫
1
2
(
2
cos
(
θ
)
)
2
d
θ
integral of 200-x
∫
2
0
0
−
xdx
integral from 0 to 6 of 2x-(x^2-4x)
∫
0
6
2
x
−
(
x
2
−
4
x
)
dx
limit as x approaches 0+of x^2
lim
x
→
0
+
(
x
2
)
(\partial)/(\partial x)(x^2-10y^2)
∂
∂
x
(
x
2
−
1
0
y
2
)
limit as x approaches 0 of 2^x-5^x
lim
x
→
0
(
2
x
−
5
x
)
derivative (9x^6+8x^3)^4
derivative
(
9
x
6
+
8
x
3
)
4
y^'+7y=1
y
′
+
7
y
=
1
integral of 1/(r^3)
∫
1
r
3
dr
integral from 0 to 0.08 of 120x
∫
0
0
.
0
8
1
2
0
xdx
integral of 1/((x^2+16)^{5/2)}
∫
1
(
x
2
+
1
6
)
5
2
dx
integral of e^x(x+a+1)
∫
e
x
(
x
+
a
+
1
)
dx
integral of 6x^2sin(3x)
∫
6
x
2
sin
(
3
x
)
dx
sum from n=1 to infinity of 2-7/(8^n)
∑
n
=
1
∞
2
−
7
8
n
integral of 3^{x+1}
∫
3
x
+
1
dx
limit as h approaches 0 of 1/h
lim
h
→
0
(
1
h
)
9x((dy)/(dx))=2xe^x-9y+6x^2
9
x
(
dy
dx
)
=
2
xe
x
−
9
y
+
6
x
2
integral of 1/(sqrt(1+e^{4x))}
∫
1
√
1
+
e
4
x
dx
1
..
1395
1396
1397
1398
1399
..
2459