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统计数据
常见 微积分 问题
integral of 6x^5-2x^4-9x^2
∫
6
x
5
−
2
x
4
−
9
x
2
dx
tangent 4x^2-3x-5
tangent
4
x
2
−
3
x
−
5
integral of ((x^2+1)^2)/(x^2)
∫
(
x
2
+
1
)
2
x
2
dx
integral of cos(x)(e^{7sin(x)})
∫
cos
(
x
)
(
e
7
sin
(
x
)
)
dx
tangent ((-8x))/(sqrt(2x-1))
tangent
(
−
8
x
)
√
2
x
−
1
y^'=(2xy^2+8x)/((x^2y+3y))
y
′
=
2
xy
2
+
8
x
(
x
2
y
+
3
y
)
limit as x approaches 0+of (e^x-1)^x
lim
x
→
0
+
(
(
e
x
−
1
)
x
)
integral of t(ln(t))^2
∫
t
(
ln
(
t
)
)
2
dt
limit as x approaches 0-of 5/(tan(x))
lim
x
→
0
−
(
5
tan
(
x
)
)
integral of e^{-x}*x^2
∫
e
−
x
·
x
2
dx
derivative arcsin(1/t)
derivative
arcsin
(
1
t
)
(\partial)/(\partial x)(e^{-7x}cos(3pit))
∂
∂
x
(
e
−
7
x
cos
(
3
π
t
)
)
tangent 10-2e^x
tangent
1
0
−
2
e
x
derivative of sin(4x-5)
d
dx
(
sin
(
4
x
−
5
)
)
(x/(sin(y))+2)dx+((x^2+1)cos(y))/(cos(2y)-1)dy=0
(
x
sin
(
y
)
+
2
)
dx
+
(
x
2
+
1
)
cos
(
y
)
cos
(
2
y
)
−
1
dy
=
0
integral of e^{6x+e^{6x}}
∫
e
6
x
+
e
6
x
dx
斜率 (-4.4)(-6.6)
slope
(
−
4
.
4
)
(
−
6
.
6
)
integral of (x+4)^3
∫
(
x
+
4
)
3
dx
(\partial)/(\partial x)(2x^2cos(xy))
∂
∂
x
(
2
x
2
cos
(
xy
)
)
tangent f(x)=(x^2+36)(2x+21),\at x=-4
tangent
f
(
x
)
=
(
x
2
+
3
6
)
(
2
x
+
2
1
)
,
at
x
=
−
4
integral of (cosh(x))/(sinh(x))
∫
cosh
(
x
)
sinh
(
x
)
dx
limit as x approaches 0+of 2/(3x^{1/3)}
lim
x
→
0
+
(
2
3
x
1
3
)
derivative f(x)=-4x^2
derivative
f
(
x
)
=
−
4
x
2
(\partial)/(\partial y)(xe^{2x-3y})
∂
∂
y
(
xe
2
x
−
3
y
)
limit as x approaches 0 of (sin(4x)cos(3x))/(7x)
lim
x
→
0
(
sin
(
4
x
)
cos
(
3
x
)
7
x
)
limit as x approaches 0 of x^{x^3}
lim
x
→
0
(
x
x
3
)
limit as x approaches 1 of 3x-4
lim
x
→
1
(
3
x
−
4
)
derivative e^{x^4+9x}
derivative
e
x
4
+
9
x
implicit (dy)/(dx),5cos(xy)=6x+7y
implicit
dy
dx
,
5
cos
(
xy
)
=
6
x
+
7
y
integral of sin(2x)+cos(2x)
∫
sin
(
2
x
)
+
cos
(
2
x
)
dx
面积 x=y-y^2,x=y^2-3
area
x
=
y
−
y
2
,
x
=
y
2
−
3
y^{''}-4y^'-45y=0
y
′
′
−
4
y
′
−
4
5
y
=
0
integral of cos^4(3t)
∫
cos
4
(
3
t
)
dt
integral from-pi to pi of x
∫
−
π
π
xdx
derivative of ((x^2)/(5+8x))
d
dx
(
(
x
2
)
5
+
8
x
)
derivative of (20/(x^6))
d
dx
(
2
0
x
6
)
(d^2y)/(dx^2)+5(dy)/(dx)+6y=12e^x
d
2
y
dx
2
+
5
dy
dx
+
6
y
=
1
2
e
x
sum from n=1 to infinity of (5+n)/(n!)
∑
n
=
1
∞
5
+
n
n
!
y^'+100y=0
y
′
+
1
0
0
y
=
0
sum from n=1 to infinity of 2^n*3^{-n}
∑
n
=
1
∞
2
n
·
3
−
n
y=3cos(x^2-1)
y
=
3
cos
(
x
2
−
1
)
integral of sqrt(6x+5)
∫
√
6
x
+
5
dx
implicit sin(y)=5x^3-5
implicit
sin
(
y
)
=
5
x
3
−
5
tangent f(x)=x^2-x+1,\at x=-1
tangent
f
(
x
)
=
x
2
−
x
+
1
,
at
x
=
−
1
limit as h approaches 0 of 6x+3h
lim
h
→
0
(
6
x
+
3
h
)
derivative of 1+sqrt(2x)
d
dx
(
1
+
√
2
x
)
(\partial)/(\partial x)(xy^2+x)
∂
∂
x
(
xy
2
+
x
)
(dy)/(dx)-yx-y^2=0
dy
dx
−
yx
−
y
2
=
0
integral of 2/(v^2)
∫
2
v
2
dv
(sin^3(x))^'
(
sin
3
(
x
)
)
′
derivative y=9arctan(x+sqrt(1+x^2))
derivative
y
=
9
arctan
(
x
+
√
1
+
x
2
)
((ln(x))^2)^'
(
(
ln
(
x
)
)
2
)
′
limit as x approaches-8 of (8-|x|)/(8+x)
lim
x
→
−
8
(
8
−
|
x
|
8
+
x
)
integral of (14)/(x^2-1)
∫
1
4
x
2
−
1
dx
derivative of ln(x^2-12x)
d
dx
(
ln
(
x
2
−
1
2
x
)
)
integral of 4sin^5(x)cos(x)
∫
4
sin
5
(
x
)
cos
(
x
)
dx
integral from 1 to 4 of-4sqrt(t)ln(t)
∫
1
4
−
4
√
t
ln
(
t
)
dt
derivative of-235
d
dx
(
−
2
3
5
)
derivative sin(x^4)
derivative
sin
(
x
4
)
derivative y=9^{5^{x^2}}
derivative
y
=
9
5
x
2
面积 y=2,y=2sin(x),[0, pi/2 ]
area
y
=
2
,
y
=
2
sin
(
x
)
,
[
0
,
π
2
]
(\partial)/(\partial z)(x/(x^2+y^2+z^2))
∂
∂
z
(
x
x
2
+
y
2
+
z
2
)
implicit (dy)/(dx),x^8+y^7=5
implicit
dy
dx
,
x
8
+
y
7
=
5
(e^{3t})^'
(
e
3
t
)
′
integral of-7/(x^2)-4
∫
−
7
x
2
−
4
dx
integral of (3t^4-t^3+6t^2)/(t^4)
∫
3
t
4
−
t
3
+
6
t
2
t
4
dt
csc(y)dx+sec^2(x)dy=0
csc
(
y
)
dx
+
sec
2
(
x
)
dy
=
0
integral of et
∫
etdt
limit as x approaches 0 of (|x|)/(x^2)
lim
x
→
0
(
|
x
|
x
2
)
integral of 1/(a+bsqrt(x))
∫
1
a
+
b
√
x
dx
integral of 1/(7+x^2)
∫
1
7
+
x
2
dx
(e^x+1)(dy)/(dx)=y-ye^x
(
e
x
+
1
)
dy
dx
=
y
−
ye
x
limit as x approaches 0 of (cot(x))/x
lim
x
→
0
(
cot
(
x
)
x
)
tangent y=3-2x^2,(-4,-29)
tangent
y
=
3
−
2
x
2
,
(
−
4
,
−
2
9
)
integral of-1/(x^2)
∫
−
1
x
2
dx
limit as x approaches-infinity of (x)^2
lim
x
→
−
∞
(
(
x
)
2
)
integral of \sqrt[3]{8-7x^2}(-14x)
∫
3
√
8
−
7
x
2
(
−
1
4
x
)
dx
integral of sqrt(37)
∫
√
3
7
derivative g(x)=3x^4
derivative
g
(
x
)
=
3
x
4
tangent f(x)= 3/x ,(5, 3/5)
tangent
f
(
x
)
=
3
x
,
(
5
,
3
5
)
integral of x^4e^{7x}
∫
x
4
e
7
x
dx
integral of (x^2-3)/(x(x^2-1))
∫
x
2
−
3
x
(
x
2
−
1
)
dx
integral from 0 to pi of 4sec^2(x/4)
∫
0
π
4
sec
2
(
x
4
)
dx
(\partial)/(\partial x)(2x^3cos(xy))
∂
∂
x
(
2
x
3
cos
(
xy
)
)
limit as x approaches 0 of 1/(3^x)
lim
x
→
0
(
1
3
x
)
derivative f(x)=x^3+5x+7
derivative
f
(
x
)
=
x
3
+
5
x
+
7
inverse拉普拉斯 4/(s^2+2s+4)
inverselaplace
4
s
2
+
2
s
+
4
derivative of 1/(ln(x+sqrt(1+x^2)))
d
dx
(
1
ln
(
x
+
√
1
+
x
2
)
)
(\partial)/(\partial s)(-(sqrt(s^2+t^2)))
∂
∂
s
(
−
(
√
s
2
+
t
2
)
)
integral from 1 to e of ln(13x)
∫
1
e
ln
(
1
3
x
)
dx
integral of e^{1-8t}
∫
e
1
−
8
t
dt
(\partial)/(\partial u)(1/4 (u-v))
∂
∂
u
(
1
4
(
u
−
v
)
)
f(x)=(5^{4x^3}+e^{2x^3})/(12)
f
(
x
)
=
5
4
x
3
+
e
2
x
3
1
2
derivative of (3x^2+6xsin(x))
d
dx
(
(
3
x
2
+
6
x
)
sin
(
x
)
)
integral of 9x^2e^{2x}
∫
9
x
2
e
2
x
dx
limit as t approaches 0 of I(t)nt
lim
t
→
0
(
I
(
t
)
nt
)
integral from 2 to infinity of-2x^{-2}
∫
2
∞
−
2
x
−
2
dx
derivative of 2/(sqrt(4x-3))
d
dx
(
2
√
4
x
−
3
)
integral of (t^3)/(sqrt(a^4+t^4))
∫
t
3
√
a
4
+
t
4
dt
derivative of arctan(7x)
d
dx
(
arctan
(
7
x
)
)
1
..
1502
1503
1504
1505
1506
..
2459