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统计数据
常见 微积分 问题
integral of sin(x)+5
∫
sin
(
x
)
+
5
dx
integral of (ln(x))/(16)
∫
ln
(
x
)
1
6
dx
derivative of (3-4xe^{-2x^2})
d
dx
(
(
3
−
4
x
)
e
−
2
x
2
)
derivative of (x^3-3x^2+4x-5/(x^2))
d
dx
(
x
3
−
3
x
2
+
4
x
−
5
x
2
)
limit as x approaches-infinity of 8^x
lim
x
→
−
∞
(
8
x
)
limit as n approaches infinity of (((n+1)^3))/(5^{n+1)}
lim
n
→
∞
(
(
(
n
+
1
)
3
)
5
n
+
1
)
x^2y^{''}+5xy^'+3y=0
x
2
y
′
′
+
5
xy
′
+
3
y
=
0
derivative of x^{\sqrt[8]{x}}
d
dx
(
x
8
√
x
)
limit as x approaches 0 of-arctan(x/2)
lim
x
→
0
(
−
arctan
(
x
2
)
)
f^'(x)=-4x^3+2x^2-7
f
′
(
x
)
=
−
4
x
3
+
2
x
2
−
7
tangent f(x)=x+2cos(x),\at x=0
tangent
f
(
x
)
=
x
+
2
cos
(
x
)
,
at
x
=
0
tangent y=3x^3-2x,(-1,-1)
tangent
y
=
3
x
3
−
2
x
,
(
−
1
,
−
1
)
integral of-0.2x+43
∫
−
0
.
2
x
+
4
3
dx
derivative (7+2x)/(9-8x)
derivative
7
+
2
x
9
−
8
x
derivative of (4+3x^2)
d
dx
(
(
4
+
3
x
)
2
)
integral of 15e^{-5x}
∫
1
5
e
−
5
x
dx
integral of 200
∫
2
0
0
dx
limit as x approaches 0 of x-|x|
lim
x
→
0
(
x
−
|
x
|
)
du= 1/x dx
du
=
1
x
dx
integral of (12e^x-5x^{-2})
∫
(
1
2
e
x
−
5
x
−
2
)
dx
derivative of (x^2-1/(x^2)^6)
d
dx
(
(
x
2
−
1
x
2
)
6
)
integral from 5/2 to 5 of sqrt(25-x^2)
∫
5
2
5
√
2
5
−
x
2
dx
integral of (sin(2x))/(46+cos^2(x))
∫
sin
(
2
x
)
4
6
+
cos
2
(
x
)
dx
derivative ((x+9))/(sqrt(x))
derivative
(
x
+
9
)
√
x
d/(dt)(1/(t^4))
d
dt
(
1
t
4
)
derivative-1/(sqrt(x))
derivative
−
1
√
x
integral of 8xcos(5x)
∫
8
x
cos
(
5
x
)
dx
y^{''}+9y^'=1
y
′
′
+
9
y
′
=
1
limit as x approaches-2 of (2x)/(x^2-4)
lim
x
→
−
2
(
2
x
x
2
−
4
)
integral of (x^6-x^3+25)/(x^4+5x^2)
∫
x
6
−
x
3
+
2
5
x
4
+
5
x
2
dx
f(x)=e^2x
f
(
x
)
=
e
2
x
derivative of sec(x^3e^x)
d
dx
(
sec
(
x
3
e
x
)
)
integral of sqrt(2sin(x)+2)
∫
√
2
sin
(
x
)
+
2
dx
integral of (x^2)/(sqrt(5-x^2))
∫
x
2
√
5
−
x
2
dx
limit as x approaches+pi of (5x)/3
lim
x
→
+
π
(
5
x
3
)
derivative y=(8x^2+8x+4)/(sqrt(x))
derivative
y
=
8
x
2
+
8
x
+
4
√
x
integral of sqrt(5^x)
∫
√
5
x
dx
(\partial)/(\partial x)(arctan(cos(x)))
∂
∂
x
(
arctan
(
cos
(
x
)
)
)
(\partial)/(\partial y)(3(x-y)e^{3y+2x^2})
∂
∂
y
(
3
(
x
−
y
)
e
3
y
+
2
x
2
)
(dy)/(dx)=0.5y-450
dy
dx
=
0
.
5
y
−
4
5
0
derivative 2xcos(x)
derivative
2
x
cos
(
x
)
integral of 1/(4+(x-3)^2)
∫
1
4
+
(
x
−
3
)
2
dx
面积 x^2,x+2
area
x
2
,
x
+
2
tangent x^3-3x+1
tangent
x
3
−
3
x
+
1
integral of (sin(pix))
∫
(
sin
(
π
x
)
)
dx
(\partial)/(\partial y)(5ze^{xyz})
∂
∂
y
(
5
ze
xyz
)
integral of e^{-x}sin(2x)
∫
e
−
x
sin
(
2
x
)
dx
(\partial)/(\partial x)(e^{xy}tan(y))
∂
∂
x
(
e
xy
tan
(
y
)
)
limit as h approaches 0 of ((sqrt(18h+1)-1))/h
lim
h
→
0
(
(
√
1
8
h
+
1
−
1
)
h
)
integral of (sqrt(9x^2+16))/(x^4)
∫
√
9
x
2
+
1
6
x
4
dx
integral of 2x(x^2-1)
∫
2
x
(
x
2
−
1
)
dx
derivative y=((x^2+3)/(x^2-3))^7
derivative
y
=
(
x
2
+
3
x
2
−
3
)
7
limit as x approaches 2 of x^2+5x-9
lim
x
→
2
(
x
2
+
5
x
−
9
)
derivative y=\sqrt[3]{tan(3t)}
derivative
y
=
3
√
tan
(
3
t
)
奇偶性 cot^2(cos(θ))
parity
cot
2
(
cos
(
θ
)
)
derivative of arcsin(6x^4)
d
dx
(
arcsin
(
6
x
4
)
)
derivative of (x^2/3+(5x)/7-8/5)
d
dx
(
x
2
3
+
5
x
7
−
8
5
)
tangent f(x)=5x^3,\at x=-2
tangent
f
(
x
)
=
5
x
3
,
at
x
=
−
2
(\partial)/(\partial x)(xarcsin(x)y)
∂
∂
x
(
x
arcsin
(
x
)
y
)
integral from 0 to pi/2 of xsin(4x)
∫
0
π
2
x
sin
(
4
x
)
dx
limit as x approaches 5-of 5/((x-5)^3)
lim
x
→
5
−
(
5
(
x
−
5
)
3
)
泰勒 \sqrt[4]{x}
taylor
4
√
x
integral of sqrt(3+s)(s+1)^2
∫
√
3
+
s
(
s
+
1
)
2
ds
derivative f(x)=ln(25sin^2(x))
derivative
f
(
x
)
=
ln
(
2
5
sin
2
(
x
)
)
derivative y(X)=0.167X
derivative
y
(
X
)
=
0
.
1
6
7
X
斜率 (-2,4),(5,-1)
slope
(
−
2
,
4
)
,
(
5
,
−
1
)
limit as x approaches 0 of x^{9sin(x)}
lim
x
→
0
(
x
9
sin
(
x
)
)
(\partial)/(\partial y)(2x-5y+2)
∂
∂
y
(
2
x
−
5
y
+
2
)
limit as x approaches 4+of (3x)/(x-4)
lim
x
→
4
+
(
3
x
x
−
4
)
integral of (u-1)sqrt(u)
∫
(
u
−
1
)
√
u
du
integral of x^{4/3}
∫
x
4
3
dx
f(x)=(ln(x))/(x+2)
f
(
x
)
=
ln
(
x
)
x
+
2
(\partial)/(\partial x)(1-xycos(piy))
∂
∂
x
(
1
−
xy
cos
(
π
y
)
)
integral of 1/(x^2sqrt(64-x^2))
∫
1
x
2
√
6
4
−
x
2
dx
y^{''}-2y^'=e^x
y
′
′
−
2
y
′
=
e
x
麦克劳林 1/((1+x)^2)
maclaurin
1
(
1
+
x
)
2
(\partial)/(\partial x)(14sqrt(x))
∂
∂
x
(
1
4
√
x
)
derivative of e^{2x-1}ln(2x-1)
d
dx
(
e
2
x
−
1
ln
(
2
x
−
1
)
)
integral of 9/((x^2-1)^2)
∫
9
(
x
2
−
1
)
2
dx
derivative sec^7(x)
derivative
sec
7
(
x
)
tangent 4-x^2
tangent
4
−
x
2
(dy)/(dx)=2x
dy
dx
=
2
x
derivative of \sqrt[3]{x+3}
d
dx
(
3
√
x
+
3
)
integral of x^{1/8}+y^{1/8}
∫
x
1
8
+
y
1
8
y^{''}+k*y=0
y
′
′
+
k
·
y
=
0
(\partial)/(\partial x)(2e^{4xy})
∂
∂
x
(
2
e
4
xy
)
(\partial)/(\partial x)(ln((x^2+y^2)^2))
∂
∂
x
(
ln
(
(
x
2
+
y
2
)
2
)
)
integral of 9zsqrt(3z^2-7)
∫
9
z
√
3
z
2
−
7
dz
derivative (30)/((1-x)^4)
derivative
3
0
(
1
−
x
)
4
tangent f(x)=x^2-x,\at x=-2
tangent
f
(
x
)
=
x
2
−
x
,
at
x
=
−
2
integral from 0 to 0.5 of (-13x+6)-(-x)
∫
0
0
.
5
(
−
1
3
x
+
6
)
−
(
−
x
)
dx
integral of 3/(5x-1)
∫
3
5
x
−
1
dx
integral from 0 to 2 of (xsqrt(4-x^2))
∫
0
2
(
x
√
4
−
x
2
)
dx
derivative of 2+3x
d
dx
(
2
+
3
x
)
面积-2x^2+8,3x+1,0
area
−
2
x
2
+
8
,
3
x
+
1
,
0
integral of (x^2-7x+4)
∫
(
x
2
−
7
x
+
4
)
dx
y^{''}+4y^'+4y=(5+x)e^{-2x}
y
′
′
+
4
y
′
+
4
y
=
(
5
+
x
)
e
−
2
x
(dy)/(dx)+y/x =e^x
dy
dx
+
y
x
=
e
x
derivative of d-b+(-ax^3-d/(x^2))
d
dx
(
d
−
b
+
−
ax
3
−
d
x
2
)
derivative of e^{2x}+e^{-3x}
d
dx
(
e
2
x
+
e
−
3
x
)
1
..
1342
1343
1344
1345
1346
..
2459