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统计数据
常见 微积分 问题
tangent y=e^{2x}cos(pix),(0,1)
tangent
y
=
e
2
x
cos
(
π
x
)
,
(
0
,
1
)
derivative f(x)=(x+7)/(8x)
derivative
f
(
x
)
=
x
+
7
8
x
derivative of 1/(sin^3(x))
d
dx
(
1
sin
3
(
x
)
)
tangent y= 7/(sqrt(x))
tangent
y
=
7
√
x
(\partial)/(\partial x)(x^2(x-2)^4)
∂
∂
x
(
x
2
(
x
−
2
)
4
)
x^2y^{''}+3xy^'-3y=0,y(1)=0,y^'(1)=5
x
2
y
′
′
+
3
xy
′
−
3
y
=
0
,
y
(
1
)
=
0
,
y
′
(
1
)
=
5
integral from 0 to pi/4 of xsin(12x)
∫
0
π
4
x
sin
(
1
2
x
)
dx
integral of 4/(\sqrt[3]{x^2)}
∫
4
3
√
x
2
dx
y^{''}-4y^'-5y=-2,y(0)=0,y^'(0)=0
y
′
′
−
4
y
′
−
5
y
=
−
2
,
y
(
0
)
=
0
,
y
′
(
0
)
=
0
derivative of e^{3x}cos(x)
d
dx
(
e
3
x
cos
(
x
)
)
derivative of ((x^2+1)/(x^2-1))
d
dx
(
(
x
2
+
1
)
x
2
−
1
)
integral of (pi-x)cos(pix)
∫
(
π
−
x
)
cos
(
π
x
)
dx
limit as x approaches 1 of (x-1)/(x^3-1)
lim
x
→
1
(
x
−
1
x
3
−
1
)
y^{''}-4y^'-12y=0
y
′
′
−
4
y
′
−
1
2
y
=
0
derivative 2y
derivative
2
y
implicit (dy)/(dx),y=arccos(4x^2)
implicit
dy
dx
,
y
=
arccos
(
4
x
2
)
integral of 3sin(2x)cos(3x)
∫
3
sin
(
2
x
)
cos
(
3
x
)
dx
integral from 0 to 4 of ((4-x)sqrt(x))
∫
0
4
(
(
4
−
x
)
√
x
)
dx
(dy)/(dx)=e^{4x}-3y
dy
dx
=
e
4
x
−
3
y
limit as x approaches infinity of x^2y^2
lim
x
→
∞
(
x
2
y
2
)
derivative f(x)=(3x-9)/(2x+8)
derivative
f
(
x
)
=
3
x
−
9
2
x
+
8
integral of (-x^2-x+6)
∫
(
−
x
2
−
x
+
6
)
dx
integral of \sqrt[3]{x}-cos(x)
∫
3
√
x
−
cos
(
x
)
dx
tangent y=(x^4+2/x),(1,3)
tangent
y
=
(
x
4
+
2
x
)
,
(
1
,
3
)
(d^2)/(dx^2)(ln(x+1))
d
2
dx
2
(
ln
(
x
+
1
)
)
integral of (x^2+3)ln(2x)
∫
(
x
2
+
3
)
ln
(
2
x
)
dx
integral of 9/((t^2+1)^{3/2)}
∫
9
(
t
2
+
1
)
3
2
dt
derivative y=x^{5x}
derivative
y
=
x
5
x
integral from-1 to 1 of (\sqrt[3]{t}-5)
∫
−
1
1
(
3
√
t
−
5
)
dt
integral of ((1+ln(x))^3)/x
∫
(
1
+
ln
(
x
)
)
3
x
dx
integral of (3x+1)(4-x)
∫
(
3
x
+
1
)
(
4
−
x
)
dx
derivative ((sqrt(x)-2))/(sqrt(x)+3)
derivative
(
√
x
−
2
)
√
x
+
3
derivative of 3xsqrt(y)
d
dx
(
3
x
√
y
)
inverse拉普拉斯 (2x)/((x^2+4)^2)
inverselaplace
2
x
(
x
2
+
4
)
2
derivative of ln(arctan(8x^5))
d
dx
(
ln
(
arctan
(
8
x
5
)
)
)
derivative of x^3(x-2^2)
d
dx
(
x
3
(
x
−
2
)
2
)
integral of \sqrt[3]{x}*(x+1)^2
∫
3
√
x
·
(
x
+
1
)
2
dx
(1+y^2+xy^2)dx+(x^2y+y+2xy)dy=0
(
1
+
y
2
+
xy
2
)
dx
+
(
x
2
y
+
y
+
2
xy
)
dy
=
0
derivative of x^{0.6}
d
dx
(
x
0
.
6
)
面积 y=x,y=12x,x=9
area
y
=
x
,
y
=
1
2
x
,
x
=
9
laplace变换 5x
laplacetransform
5
x
tangent f(x)= 6/(x-1)
tangent
f
(
x
)
=
6
x
−
1
integral of (\sqrt[4]{x^3}+1)
∫
(
4
√
x
3
+
1
)
dx
derivative of (1/((x^3-x+1^2))^4)
d
dx
(
(
1
(
x
3
−
x
+
1
)
2
)
4
)
integral of \sqrt[3]{x^2}(2x^2+1/(x^3))
∫
3
√
x
2
(
2
x
2
+
1
x
3
)
dx
derivative of 16-x^{2/3}
d
dx
(
1
6
−
x
2
3
)
derivative cos((pix)^6)
derivative
cos
(
(
π
x
)
6
)
derivative of xsqrt(x^2-16)
d
dx
(
x
√
x
2
−
1
6
)
inverse拉普拉斯 (10)/(s^2+s+10)
inverselaplace
1
0
s
2
+
s
+
1
0
derivative of sqrt(e^{2x)+1}
d
dx
(
√
e
2
x
+
1
)
tangent f(x)= 3/(x+1),\at x=7
tangent
f
(
x
)
=
3
x
+
1
,
at
x
=
7
2y^{''}+8y^'+80y=60cos(8t)
2
y
′
′
+
8
y
′
+
8
0
y
=
6
0
cos
(
8
t
)
(\partial)/(\partial x)(e^{x+y})
∂
∂
x
(
e
x
+
y
)
sum from n=0 to infinity of (x)^n
∑
n
=
0
∞
(
x
)
n
integral of 1/(t^4+16)
∫
1
t
4
+
1
6
dt
limit as x approaches-3+of (x+2)/(x+3)
lim
x
→
−
3
+
(
x
+
2
x
+
3
)
limit as x approaches 3 of (x+2)/(x+3)
lim
x
→
3
(
x
+
2
x
+
3
)
integral of (2x^3+5cos(x)+e^x)
∫
(
2
x
3
+
5
cos
(
x
)
+
e
x
)
dx
integral of sqrt(x(1-x))
∫
√
x
(
1
−
x
)
dx
integral of cos(1/4 x)
∫
cos
(
1
4
x
)
dx
laplace变换-6
laplacetransform
−
6
sum from n=1 to infinity of 2*0.3^n
∑
n
=
1
∞
2
·
0
.
3
n
integral of (3x^2+4)/((x^2-2x+2)^2)
∫
3
x
2
+
4
(
x
2
−
2
x
+
2
)
2
dx
integral of 1/(2+e^x)
∫
1
2
+
e
x
dx
integral of t+6
∫
t
+
6
dt
derivative f(x)=(3x^5-7x^2-4)/(x^2)
derivative
f
(
x
)
=
3
x
5
−
7
x
2
−
4
x
2
limit as x approaches 0 of cot^3(x)
lim
x
→
0
(
cot
3
(
x
)
)
derivative of (tan(20x)/(x^{2/3)+3x})
d
dx
(
tan
(
2
0
x
)
x
2
3
+
3
x
)
limit as x approaches 0 of x/(ln(x+1))
lim
x
→
0
(
x
ln
(
x
+
1
)
)
(\partial)/(\partial x)((x^4+y^4)/(x^2+y^2))
∂
∂
x
(
x
4
+
y
4
x
2
+
y
2
)
derivative of 5sin^3(x)
d
dx
(
5
sin
3
(
x
)
)
f(x)=2xe^x
f
(
x
)
=
2
xe
x
y^'+x(y^2+y)=0
y
′
+
x
(
y
2
+
y
)
=
0
derivative of 3cos(x/2)
d
dx
(
3
cos
(
x
2
)
)
implicit (dy)/(dx),y=-x/y
implicit
dy
dx
,
y
=
−
x
y
integral of e^{(-x^2)/2}
∫
e
−
x
2
2
dx
d/(dt)((2t)/(sqrt(1+4t^2)))
d
dt
(
2
t
√
1
+
4
t
2
)
integral from 0 to 1 of pi(2x^2)^2
∫
0
1
π
(
2
x
2
)
2
dx
y^{''}+4y=2sec(2t)
y
′
′
+
4
y
=
2
sec
(
2
t
)
tangent 4x^2+5x,\at x=3
tangent
4
x
2
+
5
x
,
at
x
=
3
(\partial)/(\partial x)(e^{xy}+x+y)
∂
∂
x
(
e
xy
+
x
+
y
)
integral of tan^5(x)
∫
tan
5
(
x
)
dx
(dx)/(dy)=(x^2y^2)/(1+x)
dx
dy
=
x
2
y
2
1
+
x
integral from 0 to 2 of t/((3-t)^2)
∫
0
2
t
(
3
−
t
)
2
dt
derivative-1.2(9)+36
derivative
−
1
.
2
(
9
)
+
3
6
integral of x/(x^2+x)
∫
x
x
2
+
x
dx
t(dy)/(dt)+(t+1)y=2te^{-t}
t
dy
dt
+
(
t
+
1
)
y
=
2
te
−
t
integral of (1+sqrt(x))/(1-sqrt(x))
∫
1
+
√
x
1
−
√
x
dx
integral of (13e^{-5x}cos(x))/(10)
∫
1
3
e
−
5
x
cos
(
x
)
1
0
dx
泰勒 x*cos(2x)
taylor
x
·
cos
(
2
x
)
integral of (8ln(x+9))/(x^2)
∫
8
ln
(
x
+
9
)
x
2
dx
laplace变换 6sin(2t)
laplacetransform
6
sin
(
2
t
)
derivative of asin(2x)
d
dx
(
a
sin
(
2
x
)
)
derivative of (7sqrt(x)/x)
d
dx
(
7
√
x
x
)
derivative ((ax+b))/(cx+d)
derivative
(
ax
+
b
)
cx
+
d
integral of (2x-3)/(x^2-3x+1)
∫
2
x
−
3
x
2
−
3
x
+
1
dx
derivative e^{sqrt(x+1)}
derivative
e
√
x
+
1
integral of 21e^x
∫
2
1
e
x
dx
integral from 1 to 3 of 4/(x^2)
∫
1
3
4
x
2
dx
derivative sqrt(9-5x)
derivative
√
9
−
5
x
1
..
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1156
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1158
1159
..
2459