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统计数据
常见 微积分 问题
integral of xsqrt(6-x^2)
∫
x
√
6
−
x
2
dx
derivative f(x)=4x^2+3x
derivative
f
(
x
)
=
4
x
2
+
3
x
y^{''}+2y^'+2y=sin(9x)
y
′
′
+
2
y
′
+
2
y
=
sin
(
9
x
)
derivative 1/(X^2)
derivative
1
X
2
inverse拉普拉斯 (4(-s+16))/(s^2+10s)
inverselaplace
4
(
−
s
+
1
6
)
s
2
+
1
0
s
斜率 (-4.5)(2.3)
slope
(
−
4
.
5
)
(
2
.
3
)
derivative of (x^2ln(x)^4)
d
dx
(
(
x
2
ln
(
x
)
)
4
)
derivative y= 1/3 cos((6pix-1)/2)
derivative
y
=
1
3
cos
(
6
π
x
−
1
2
)
integral of-e^x-7/(cos^2(x))
∫
−
e
x
−
7
cos
2
(
x
)
dx
derivative of sin(x^2cos(x))
d
dx
(
sin
(
x
2
cos
(
x
)
)
)
derivative of cot^2(3-2x)
d
dx
(
cot
2
(
3
−
2
x
)
)
integral of 3/2 e^{3/2 x}
∫
3
2
e
3
2
x
dx
derivative f(x)=9-x^2
derivative
f
(
x
)
=
9
−
x
2
derivative e^3ln(e^3)
derivative
e
3
ln
(
e
3
)
integral from-3 to 2 of ((6-x)-(x^2))
∫
−
3
2
(
(
6
−
x
)
−
(
x
2
)
)
dx
(4x-3y)dx+(2y-3x)dy=0
(
4
x
−
3
y
)
dx
+
(
2
y
−
3
x
)
dy
=
0
integral of (x+3)/(x^2+11x+18)
∫
x
+
3
x
2
+
1
1
x
+
1
8
dx
integral from 0 to 1 of sin(4pix)
∫
0
1
sin
(
4
π
x
)
dx
integral of (2x)/(3+x^2)
∫
2
x
3
+
x
2
dx
(dy)/(dt)=(yt-y)/((r^2+1))
dy
dt
=
yt
−
y
(
r
2
+
1
)
integral of 14cot(7x)csc^2(7x)
∫
1
4
cot
(
7
x
)
csc
2
(
7
x
)
dx
sum from i=1 to infinity of i^2
∑
i
=
1
∞
i
2
integral of (t^5)/(sqrt(t^2+7))
∫
t
5
√
t
2
+
7
dt
integral of sec^2(3x)tan(3x)
∫
sec
2
(
3
x
)
tan
(
3
x
)
dx
derivative f(x)=x^2+(4(1-x)^2)/pi
derivative
f
(
x
)
=
x
2
+
4
(
1
−
x
)
2
π
integral of 4ln(9x^2)
∫
4
ln
(
9
x
2
)
dx
integral of zln(2)
∫
z
ln
(
2
)
integral of e^{ln(x)}
∫
e
ln
(
x
)
dx
(dy)/(dx)=2sqrt(y+1)cos(x)
dy
dx
=
2
√
y
+
1
cos
(
x
)
tangent (((x+3))/((x-1)))^2
tangent
(
(
x
+
3
)
(
x
−
1
)
)
2
limit as x approaches 3+of 3x-7
lim
x
→
3
+
(
3
x
−
7
)
derivative 5sec(7x)
derivative
5
sec
(
7
x
)
normal y=3e^x-7x,(0,3)
normal
y
=
3
e
x
−
7
x
,
(
0
,
3
)
derivative (2x-1)/(x+2)
derivative
2
x
−
1
x
+
2
derivative ln(sin^2(x))
derivative
ln
(
sin
2
(
x
)
)
(dy)/(dx)=x+2xy
dy
dx
=
x
+
2
xy
derivative of (3x+1^3)
d
dx
(
(
3
x
+
1
)
3
)
sum from n=2 to infinity of 1/(2n*ln(n))
∑
n
=
2
∞
1
2
n
·
ln
(
n
)
derivative x^{-2}(5x^2-4)^3
derivative
x
−
2
(
5
x
2
−
4
)
3
(2x^3+xy^2)+(x^2y+2y^3)(dy)/(dx)=0
(
2
x
3
+
xy
2
)
+
(
x
2
y
+
2
y
3
)
dy
dx
=
0
integral from 0 to t of e^{-s^2}
∫
0
t
e
−
s
2
ds
limit as x approaches-5 of (x^2-2)/(5-x)
lim
x
→
−
5
(
x
2
−
2
5
−
x
)
integral of (x^3)/3*1/x
∫
x
3
3
·
1
x
dx
integral of (-ln(x))/(x^2)
∫
−
ln
(
x
)
x
2
dx
derivative sqrt(3+y^2)
derivative
√
3
+
y
2
y^{''}-2y^'=(4t+9)sin(2t)
y
′
′
−
2
y
′
=
(
4
t
+
9
)
sin
(
2
t
)
integral of 2sec^2(x)
∫
2
sec
2
(
x
)
dx
integral from-1 to 0 of 1/x
∫
−
1
0
1
x
dx
derivative of 3/2 sin(2x)
d
dx
(
3
2
sin
(
2
x
)
)
integral of (x^2-y)
∫
(
x
2
−
y
)
dx
derivative of sqrt(2sin(x))
d
dx
(
√
2
sin
(
x
)
)
integral of xcsc^2(4x)
∫
x
csc
2
(
4
x
)
dx
integral from-1 to 1 of 0.09375(4-x^2)
∫
−
1
1
0
.
0
9
3
7
5
(
4
−
x
2
)
dx
integral of e^{-17x}
∫
e
−
1
7
x
dx
integral of x/(16-x^8)
∫
x
1
6
−
x
8
dx
(dy)/(dx)=(2x+y)/(3+3y^2-x),y(0)=0
dy
dx
=
2
x
+
y
3
+
3
y
2
−
x
,
y
(
0
)
=
0
derivative of ln(sin(sqrt(x)))
d
dx
(
ln
(
sin
(
√
x
)
)
)
斜率intercept (3,5),(-2,-20)
slopeintercept
(
3
,
5
)
,
(
−
2
,
−
2
0
)
derivative (1-x)^2
derivative
(
1
−
x
)
2
derivative y=2arcsin(sqrt(3x))
derivative
y
=
2
arcsin
(
√
3
x
)
integral of 24x(6-x^2)^{1/3}
∫
2
4
x
(
6
−
x
2
)
1
3
dx
derivative f(x)=(x+1)e^x
derivative
f
(
x
)
=
(
x
+
1
)
e
x
面积 x^2+1,5
area
x
2
+
1
,
5
derivative sqrt(x^2+11)
derivative
√
x
2
+
1
1
derivative c/x+(2a)/(x^3)+8
derivative
c
x
+
2
a
x
3
+
8
derivative of 2/2
d
dx
(
2
2
)
tangent f(x)=(3x)/(x^2-6),\at x=3
tangent
f
(
x
)
=
3
x
x
2
−
6
,
at
x
=
3
2y^{''}-9y^'-18y=0,y(0)=8,y^'(0)=7
2
y
′
′
−
9
y
′
−
1
8
y
=
0
,
y
(
0
)
=
8
,
y
′
(
0
)
=
7
derivative of (1+csc(x^9)/(1-cot(x^9)))
d
dx
(
1
+
csc
(
x
9
)
1
−
cot
(
x
9
)
)
integral of 5/(xsqrt(4-25ln^2(x)))
∫
5
x
√
4
−
2
5
ln
2
(
x
)
dx
derivative sqrt(x)(x^4-1)^6
derivative
√
x
(
x
4
−
1
)
6
integral of (2ln(x))/x
∫
2
ln
(
x
)
x
dx
(\partial)/(\partial y)(ln(2w^3-7y+3xy^2))
∂
∂
y
(
ln
(
2
w
3
−
7
y
+
3
xy
2
)
)
integral of e^{2θ}sin(2θ)
∫
e
2
θ
sin
(
2
θ
)
d
θ
derivative (x-4)(x+1)
derivative
(
x
−
4
)
(
x
+
1
)
derivative y=(6x)/(1-tan(x))
derivative
y
=
6
x
1
−
tan
(
x
)
(\partial)/(\partial x)(sqrt(3x-2y))
∂
∂
x
(
√
3
x
−
2
y
)
integral of e^{-θ}cos(7θ)
∫
e
−
θ
cos
(
7
θ
)
d
θ
limit as x approaches 0-of bx+8
lim
x
→
0
−
(
bx
+
8
)
derivative of sqrt(2+xe^{-3x)}
d
dx
(
√
2
+
xe
−
3
x
)
(\partial)/(\partial x)(x^{1/4}*y^{1/2})
∂
∂
x
(
x
1
4
·
y
1
2
)
(3x^2+3x^{-2}y)dx+(x^2y-x^{-1})dy=0
(
3
x
2
+
3
x
−
2
y
)
dx
+
(
x
2
y
−
x
−
1
)
dy
=
0
integral from 0 to 2 of pi(x^2-L)^2
∫
0
2
π
(
x
2
−
L
)
2
dx
derivative (2x+1)/(x+3)
derivative
2
x
+
1
x
+
3
面积 y= 1/x ,y=4x,y= 1/4 x
area
y
=
1
x
,
y
=
4
x
,
y
=
1
4
x
f(t)=tcos(t)-sin(t)
f
(
t
)
=
t
cos
(
t
)
−
sin
(
t
)
derivative of 6/(x^4+1/(x^2))
d
dx
(
6
x
4
+
1
x
2
)
integral of 1/((sqrt(2x-x^2)))
∫
1
(
√
2
x
−
x
2
)
dx
integral of (x^6+1)
∫
(
x
6
+
1
)
dx
limit as x approaches 0+of x^{2sqrt(x)}
lim
x
→
0
+
(
x
2
√
x
)
y^'=(2x)/((y+x^2y))
y
′
=
2
x
(
y
+
x
2
y
)
limit as y approaches 0 of (sin(y))/y
lim
y
→
0
(
sin
(
y
)
y
)
derivative 1/(x+ke^x)
derivative
1
x
+
ke
x
derivative of 0.5
d
dx
(
0
.
5
)
泰勒 cos(y)
taylor
cos
(
y
)
integral of 4sin(2t)
∫
4
sin
(
2
t
)
dt
(\partial)/(\partial y)(tan(x)y)
∂
∂
y
(
tan
(
x
)
y
)
derivative of (arcsin(x)^3)
d
dx
(
(
arcsin
(
x
)
)
3
)
integral of 1/(-1-y^2)
∫
1
−
1
−
y
2
dy
derivative of e^x-3
d
dx
(
e
x
−
3
)
1
..
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1499
1500
1501
1502
..
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