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통계
일반적인 미적분학 문제
derivative of ln(3x-e^{sec(x)})
d
dx
(
ln
(
3
x
)
−
e
sec
(
x
)
)
derivative sin(tan(8x))
derivative
sin
(
tan
(
8
x
)
)
f(x)=(sqrt(x+1))/(x^2-5)
f
(
x
)
=
√
x
+
1
x
2
−
5
f(t)=e^tcos(t)
f
(
t
)
=
e
t
cos
(
t
)
maclaurin sin(3x+2)
maclaurin
sin
(
3
x
+
2
)
integral from 0 to 60 of 65e^{-0.02t}
∫
0
6
0
6
5
e
−
0
.
0
2
t
dt
limit as x approaches 0 of sin(1/x)x
lim
x
→
0
(
sin
(
1
x
)
x
)
derivative of-0.4x^2+1000
d
dx
(
−
0
.
4
x
2
+
1
0
0
0
)
(\partial)/(\partial y)(xy-3xz+yz)
∂
∂
y
(
xy
−
3
xz
+
yz
)
integral of (x^5)/(sqrt(x^2+8))
∫
x
5
√
x
2
+
8
dx
limit as x approaches 3 of (-x)/(x-3)
lim
x
→
3
(
−
x
x
−
3
)
limit as x approaches 0+of (tan(2x))^x
lim
x
→
0
+
(
(
tan
(
2
x
)
)
x
)
derivative of 1+sqrt(x^3)
d
dx
(
1
+
√
x
3
)
derivative of (9*{f}(x)/({g)(x)})
d
dx
(
9
·
f
(
x
)
g
(
x
)
)
derivative y=-xe^x
derivative
y
=
−
xe
x
integral of 4tan(x)sec(3)(x)
∫
4
tan
(
x
)
sec
(
3
)
(
x
)
dx
derivative f(x)=e^{3x}cos(6x)
derivative
f
(
x
)
=
e
3
x
cos
(
6
x
)
derivative of (x^2+x^3/(x^2))
d
dx
(
x
2
+
x
3
x
2
)
derivative x^2+7x-8
derivative
x
2
+
7
x
−
8
derivative of picos(x)
d
dx
(
π
cos
(
x
)
)
지역 e^x,e^{-3x},x=ln(5)
area
e
x
,
e
−
3
x
,
x
=
ln
(
5
)
integral of (x+5)/(x^2+9)
∫
x
+
5
x
2
+
9
dx
limit as x approaches 2 of f(x)+g(x)
lim
x
→
2
(
f
(
x
)
+
g
(
x
)
)
derivative 1/(x-8)
derivative
1
x
−
8
integral of (6x^3+2x^2-45x-15)/(x^2-9)
∫
6
x
3
+
2
x
2
−
4
5
x
−
1
5
x
2
−
9
dx
derivative sqrt(6-x)
derivative
√
6
−
x
sum from n=0 to infinity of (n^2)/(2^n)
∑
n
=
0
∞
n
2
2
n
derivative of xsin(6/x)
d
dx
(
x
sin
(
6
x
)
)
integral of x/((a+bx^2)^3)
∫
x
(
a
+
bx
2
)
3
dx
지역 y=(x^2)/2-3,y=-(x^2)/2+2x
area
y
=
x
2
2
−
3
,
y
=
−
x
2
2
+
2
x
integral from 1 to 9 of 1/(x-7)
∫
1
9
1
x
−
7
dx
derivative of-xe^{((x+1/(x-1))})
d
dx
(
−
xe
(
x
+
1
x
−
1
)
)
integral of (x^2)/(x^2-4x+5)
∫
x
2
x
2
−
4
x
+
5
dx
derivative of x+5e^x
d
dx
(
x
+
5
e
x
)
derivative sqrt(r)+\sqrt[4]{r}
derivative
√
r
+
4
√
r
derivative of cot^3(4x)
d
dx
(
cot
3
(
4
x
)
)
tangent sqrt(x)(49.7)
tangent
√
x
(
4
9
.
7
)
derivative of (x^2+1e^{x-1})
d
dx
(
(
x
2
+
1
)
e
x
−
1
)
y^{''}+3y^'=0,y(0)=7,y^'(0)=-3
y
′
′
+
3
y
′
=
0
,
y
(
0
)
=
7
,
y
′
(
0
)
=
−
3
x(dy)/(dx)+(3x+1)y=e^{-3x}
x
dy
dx
+
(
3
x
+
1
)
y
=
e
−
3
x
integral of 1/(x^2+2x+65)
∫
1
x
2
+
2
x
+
6
5
dx
derivative of 3sqrt(2x-5)
d
dx
(
3
√
2
x
−
5
)
derivative of 1/(1+4x^2-arctan(2x))
d
dx
(
1
1
+
4
x
2
−
arctan
(
2
x
)
)
laplace변환 e^{-t}sin^2(t)
laplacetransform
e
−
t
sin
2
(
t
)
xy^{'''}-2/x y^'=0
xy
′
′
′
−
2
x
y
′
=
0
derivative of sin({p}(x)ix)
d
dx
(
sin
(
p
(
x
)
)
ix
)
derivative cos(8x)
derivative
cos
(
8
x
)
inverse라플라스 s/((s-3)^2)
inverselaplace
s
(
s
−
3
)
2
integral of (x^2+x)^{13}(2x+1)
∫
(
x
2
+
x
)
1
3
(
2
x
+
1
)
dx
integral of (t)^{1/2}
∫
(
t
)
1
2
dt
integral of sqrt(tan(6x))(sec(6x))^2
∫
√
tan
(
6
x
)
(
sec
(
6
x
)
)
2
dx
integral of 8sin(sqrt(x))
∫
8
sin
(
√
x
)
dx
d/(dy)(1-3/y+x)
d
dy
(
1
−
3
y
+
x
)
(dy)/(dx)=-y^2sin(x)
dy
dx
=
−
y
2
sin
(
x
)
integral of 1/(x(x^2-49)^{3/2)}
∫
1
x
(
x
2
−
4
9
)
3
2
dx
derivative of x*ln(x-1)
d
dx
(
x
·
ln
(
x
)
−
1
)
derivative of (tan(x-2)/(sec(x)))
d
dx
(
tan
(
x
)
−
2
sec
(
x
)
)
(y^2+yx)dx-x^2dy=0
(
y
2
+
yx
)
dx
−
x
2
dy
=
0
(\partial)/(\partial x)(w/((-2*k*T/x)))
∂
∂
x
(
w
(
−
2
·
k
·
T
x
)
)
integral of (x^2+1)sin(x)
∫
(
x
2
+
1
)
sin
(
x
)
dx
integral of x\sqrt[3]{x+4}
∫
x
3
√
x
+
4
dx
integral from 1 to 3 of xsqrt(x^2+1)
∫
1
3
x
√
x
2
+
1
dx
d/(dy)(3)
d
dy
(
3
)
derivative of xsqrt(5-x)
d
dx
(
x
√
5
−
x
)
derivative (cos(t))/t
derivative
cos
(
t
)
t
integral of e^{(3x)}
∫
e
(
3
x
)
dx
integral of (x+3)/((x-2)(x+5))
∫
x
+
3
(
x
−
2
)
(
x
+
5
)
dx
(\partial)/(\partial x)((x-1)^{2/3}(y^2-4))
∂
∂
x
(
(
x
−
1
)
2
3
(
y
2
−
4
)
)
(\partial)/(\partial y)(y(x+y+1))
∂
∂
y
(
y
(
x
+
y
+
1
)
)
derivative of (x-5^3)
d
dx
(
(
x
−
5
)
3
)
integral of 1/((x^2-2x+2)^2)
∫
1
(
x
2
−
2
x
+
2
)
2
dx
integral of 4/(1-x^2)
∫
4
1
−
x
2
dx
derivative of (4x^3-2x+1/(x^2))
d
dx
(
4
x
3
−
2
x
+
1
x
2
)
integral from 0 to 2pi of 3sin(2x)
∫
0
2
π
3
sin
(
2
x
)
dx
limit as x approaches 0 of (-ln(1+6x))/x
lim
x
→
0
(
−
ln
(
1
+
6
x
)
x
)
integral of (x^3)/(sqrt(1+x^2-x^4))
∫
x
3
√
1
+
x
2
−
x
4
dx
derivative of x^3sin(1/x)
d
dx
(
x
3
sin
(
1
x
)
)
d/(dy)((xy)/(x^2+y^2))
d
dy
(
xy
x
2
+
y
2
)
derivative f(x)=(2-5x)/(e^x)
derivative
f
(
x
)
=
2
−
5
x
e
x
limit as x approaches infinity of 5^x
lim
x
→
∞
(
5
x
)
derivative (sqrt(x))/(2+x)
derivative
√
x
2
+
x
(\partial)/(\partial x)(3xy^2z^3-xyz)
∂
∂
x
(
3
xy
2
z
3
−
xyz
)
limit as x approaches-1 of x^2-4x
lim
x
→
−
1
(
x
2
−
4
x
)
(\partial)/(\partial x)(xcos(piy))
∂
∂
x
(
x
cos
(
π
y
)
)
limit as x approaches-infinity of e^{-x}
lim
x
→
−
∞
(
e
−
x
)
derivative e^{2^{x^2+3x+1}}
derivative
e
2
x
2
+
3
x
+
1
integral of 22cos(0.25x)sin(0.5x)
∫
2
2
cos
(
0
.
2
5
x
)
sin
(
0
.
5
x
)
dx
derivative of (9+2x/(7-4x))
d
dx
(
9
+
2
x
7
−
4
x
)
integral of-(sin(x))/x
∫
−
sin
(
x
)
x
dx
sum from n=1 to infinity of (0.5)^n
∑
n
=
1
∞
(
0
.
5
)
n
(dy)/(dt)=1-y
dy
dt
=
1
−
y
integral of x/(\sqrt[4]{x+3)}
∫
x
4
√
x
+
3
dx
integral of (-8(x-9))/((x+5)(x-2))
∫
−
8
(
x
−
9
)
(
x
+
5
)
(
x
−
2
)
dx
derivative of (e^2/(x^2-2x))
d
dx
(
e
2
x
2
−
2
x
)
derivative of 3^xsin^2(5x)
d
dx
(
3
x
sin
2
(
5
x
)
)
(\partial)/(\partial x)(8+xln(xy-9))
∂
∂
x
(
8
+
x
ln
(
xy
−
9
)
)
(\partial)/(\partial x)(xcos(x+y)+y)
∂
∂
x
(
x
cos
(
x
+
y
)
+
y
)
integral from-2 to 0 of (x-2)(x+1)
∫
−
2
0
(
x
−
2
)
(
x
+
1
)
dx
지역 y=8x,y= 5/2 x,y=9-x^2
area
y
=
8
x
,
y
=
5
2
x
,
y
=
9
−
x
2
limit as x approaches 4-of 4-x
lim
x
→
4
−
(
4
−
x
)
1
..
618
619
620
621
622
..
2459