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统计数据
常见 微积分 问题
integral from-4 to 4 of |x-3|
∫
−
4
4
|
x
−
3
|
dx
derivative f(x)=((x^3)/(x^8+5))^2
derivative
f
(
x
)
=
(
x
3
x
8
+
5
)
2
(dy)/(dx)=x^{1/4}+x^{-3/5}
dy
dx
=
x
1
4
+
x
−
3
5
integral from 1/3 to 5 of 10xln(3x)
∫
1
3
5
1
0
x
ln
(
3
x
)
dx
integral from 0 to 2pi of x^2cos(nx)
∫
0
2
π
x
2
cos
(
nx
)
dx
integral of (ln(22x))/x
∫
ln
(
2
2
x
)
x
dx
integral of x^3sqrt(1+9x^4)
∫
x
3
√
1
+
9
x
4
dx
inverse拉普拉斯 (-3s-4)/(2(s^2+2s+2))
inverselaplace
−
3
s
−
4
2
(
s
2
+
2
s
+
2
)
inverse拉普拉斯 (e^{-8s})/s
inverselaplace
e
−
8
s
s
derivative of e^{2e^x}
d
dx
(
e
2
e
x
)
integral of ((csc(y))^2-sec(y)tan(y))
∫
(
(
csc
(
y
)
)
2
−
sec
(
y
)
tan
(
y
)
)
dy
integral from-pi to pi of x^2sin(x)
∫
−
π
π
x
2
sin
(
x
)
dx
(4xy+3y^2-x)dx+x(x+2y)dy=0
(
4
xy
+
3
y
2
−
x
)
dx
+
x
(
x
+
2
y
)
dy
=
0
integral of 2xe^{x^2}
∫
2
xe
x
2
dx
泰勒 1/((1+x)^2),0
taylor
1
(
1
+
x
)
2
,
0
integral from-6 to 0 of (y/6+sqrt(y+7))
∫
−
6
0
(
y
6
+
√
y
+
7
)
dy
integral of+1/(1-3y)
∫
+
1
1
−
3
y
dy
integral of 4cos^2(x)
∫
4
cos
2
(
x
)
dx
sum from n=0 to infinity of (4/7)^{n/2}
∑
n
=
0
∞
(
4
7
)
n
2
integral of x^2e^{-3x}
∫
x
2
e
−
3
x
dx
integral of (4x^2-5)^28x
∫
(
4
x
2
−
5
)
2
8
xdx
integral from 0 to y of e^{-x}
∫
0
y
e
−
x
dx
integral of (x+3)ln(x)
∫
(
x
+
3
)
ln
(
x
)
dx
derivative of x^4y^3
d
dx
(
x
4
y
3
)
integral of sin(pi)t
∫
sin
(
π
)
tdt
x^2y*(dy)/(dx)-9=0
x
2
y
·
dy
dx
−
9
=
0
x^{''}-x^'+x=0
x
′
′
−
x
′
+
x
=
0
面积 x=y^2-5,x=3-y^2
area
x
=
y
2
−
5
,
x
=
3
−
y
2
derivative arcsin(ln(x))
derivative
arcsin
(
ln
(
x
)
)
f(x)=5+4x-x^3
f
(
x
)
=
5
+
4
x
−
x
3
sum from n=0 to infinity of (-1)^n(n^3)
∑
n
=
0
∞
(
−
1
)
n
(
n
3
)
(\partial)/(\partial x)(x^8y^8-x^7y^7)
∂
∂
x
(
x
8
y
8
−
x
7
y
7
)
(\partial)/(\partial x)(sinh(x))
∂
∂
x
(
sinh
(
x
)
)
integral of 10cos(sqrt(3x))
∫
1
0
cos
(
√
3
x
)
dx
derivative of (x^2/4*sin(x-2))
d
dx
(
x
2
4
·
sin
(
x
−
2
)
)
integral of x^4(x^2-3x)^2
∫
x
4
(
x
2
−
3
x
)
2
dx
y^{''}+4y=tan(2t)
y
′
′
+
4
y
=
tan
(
2
t
)
integral of (-sin(x))/(cos(x))
∫
−
sin
(
x
)
cos
(
x
)
dx
integral of (2x)/(sqrt(x^2-4))
∫
2
x
√
x
2
−
4
dx
integral of 2e^{-2x}sin(2x)
∫
2
e
−
2
x
sin
(
2
x
)
dx
(dy)/(dx)-2ytan(x)=y^2tan^2(x)
dy
dx
−
2
y
tan
(
x
)
=
y
2
tan
2
(
x
)
integral of (x^2)/(x-6)
∫
x
2
x
−
6
dx
derivative f(x)=(x^2)/(e^x)
derivative
f
(
x
)
=
x
2
e
x
derivative y= 2/(ln(x))
derivative
y
=
2
ln
(
x
)
derivative f(x)= 1/(x^7)
derivative
f
(
x
)
=
1
x
7
f(t)=2t^2
f
(
t
)
=
2
t
2
derivative f(t)=(3t+1)^{2/3}
derivative
f
(
t
)
=
(
3
t
+
1
)
2
3
derivative of 5^{sin(x})
d
dx
(
5
sin
(
x
)
)
derivative of x^2cos^2(x)
d
dx
(
x
2
cos
2
(
x
)
)
(dy)/(dt)=2t
dy
dt
=
2
t
derivative of (e^{2x}/(x-3))
d
dx
(
e
2
x
x
−
3
)
(dy)/(dt)=e^{-3t},y(0)=10
dy
dt
=
e
−
3
t
,
y
(
0
)
=
1
0
derivative (x-1)^2(2x+1)^4
derivative
(
x
−
1
)
2
(
2
x
+
1
)
4
(\partial)/(\partial x)(e^{x^2-y^2})
∂
∂
x
(
e
x
2
−
y
2
)
y^'+2x^2y=x^2
y
′
+
2
x
2
y
=
x
2
integral of (2-2x)/(1-sqrt(x))
∫
2
−
2
x
1
−
√
x
dx
(dy)/(dx)+y/x =2x^8y^2
dy
dx
+
y
x
=
2
x
8
y
2
(\partial)/(\partial x)(arctan(9x))
∂
∂
x
(
arctan
(
9
x
)
)
derivative y=(4x^2+3)(2x-3)
derivative
y
=
(
4
x
2
+
3
)
(
2
x
−
3
)
integral of 18arctan(sqrt(x))
∫
1
8
arctan
(
√
x
)
dx
(d^2)/(dx^2)((2x-3)/(3x+1))
d
2
dx
2
(
2
x
−
3
3
x
+
1
)
tangent f(x)=x^4+2*e^x,\at x=0
tangent
f
(
x
)
=
x
4
+
2
·
e
x
,
at
x
=
0
integral of 5sin((npix)/4)
∫
5
sin
(
n
π
x
4
)
dx
integral of 7^nln(7)
∫
7
n
ln
(
7
)
dn
limit as x approaches 3 of 6+x
lim
x
→
3
(
6
+
x
)
limit as x approaches 0-of e^{-1/x}
lim
x
→
0
−
(
e
−
1
x
)
sum from n=0 to infinity of sin^2(n)
∑
n
=
0
∞
sin
2
(
n
)
integral of 1/(x^2+4x)
∫
1
x
2
+
4
x
dx
derivative (\sqrt[3]{x})/(x-9)
derivative
3
√
x
x
−
9
derivative ln(3x)
derivative
ln
(
3
x
)
tangent (x^3-4x)^{10}
tangent
(
x
3
−
4
x
)
1
0
integral of 1/(x^2+7x+12)
∫
1
x
2
+
7
x
+
1
2
dx
integral of (sec(x)tan(x)-(sec(x))^2)
∫
(
sec
(
x
)
tan
(
x
)
−
(
sec
(
x
)
)
2
)
dx
derivative of ([3x^2]/([x^2-4]))
d
dx
(
[
3
x
2
]
[
x
2
−
4
]
)
derivative f(x)=3x^{1/3}-5x^{4/3}
derivative
f
(
x
)
=
3
x
1
3
−
5
x
4
3
面积 y=e^x,y=e^{4x},x=1
area
y
=
e
x
,
y
=
e
4
x
,
x
=
1
inverse拉普拉斯 1/(((s-1)^2+4))
inverselaplace
1
(
(
s
−
1
)
2
+
4
)
derivative of (1-x/(x^2+1))
d
dx
(
1
−
x
x
2
+
1
)
y^{''}-4y+4y=0
y
′
′
−
4
y
+
4
y
=
0
y^'=x(2-y)
y
′
=
x
(
2
−
y
)
limit as x approaches-infinity of-3e^x
lim
x
→
−
∞
(
−
3
e
x
)
derivative of |x^4-4x^2|
d
dx
(
|
x
4
−
4
x
2
|
)
integral of cos^2(2θ)
∫
cos
2
(
2
θ
)
d
θ
integral of (3x^2)/((x^3+3)^2)
∫
3
x
2
(
x
3
+
3
)
2
dx
(\partial)/(\partial x)(2x^2+9y^2)
∂
∂
x
(
2
x
2
+
9
y
2
)
integral of 2e^{3x+e^{3x}}
∫
2
e
3
x
+
e
3
x
dx
d/(dt)(2e^tcos(t))
d
dt
(
2
e
t
cos
(
t
)
)
(dP)/(dt)+2tP=P+6t-3
dP
dt
+
2
tP
=
P
+
6
t
−
3
integral of (2x+5)/(sqrt(16-6x-x^2))
∫
2
x
+
5
√
1
6
−
6
x
−
x
2
dx
integral of x^3sqrt(x^2+31)
∫
x
3
√
x
2
+
3
1
dx
limit as x approaches 0 of In(x)
lim
x
→
0
(
In
(
x
)
)
integral from-2 to 3 of (x-6)-(x^2-12)
∫
−
2
3
(
x
−
6
)
−
(
x
2
−
1
2
)
dx
limit as x approaches 1 of 8/(x^3-1)
lim
x
→
1
(
8
x
3
−
1
)
limit as x approaches 0 of 7x
lim
x
→
0
(
7
x
)
derivative of ln((x+a/(x-a)))
d
dx
(
ln
(
x
+
a
x
−
a
)
)
limit as x approaches 0 of (|-2x|)/(5x)
lim
x
→
0
(
|
−
2
x
|
5
x
)
(\partial)/(\partial x)(34)
∂
∂
x
(
3
4
)
integral from 0 to 4 of pie^{-x/2}
∫
0
4
π
e
−
x
2
dx
limit as x approaches 0 of 2^{(x-1)}
lim
x
→
0
(
2
(
x
−
1
)
)
inverse拉普拉斯 4/(s+5)
inverselaplace
4
s
+
5
1
..
1167
1168
1169
1170
1171
..
2459