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일반적인 미적분학 문제
integral of (rsqrt(ln(r^2+1)))/(r^2+1)
∫
r
√
ln
(
r
2
+
1
)
r
2
+
1
dr
integral of (4x)/((x+2)^2)
∫
4
x
(
x
+
2
)
2
dx
integral of y^2sqrt(1-y^2)
∫
y
2
√
1
−
y
2
dy
integral of (x-1)/(\sqrt[3]{x^2)}
∫
x
−
1
3
√
x
2
dx
integral of (x+1)(x^2+2x)^3
∫
(
x
+
1
)
(
x
2
+
2
x
)
3
dx
integral of (x^5-5x)/(x^4)
∫
x
5
−
5
x
x
4
dx
적분-sin(x)
integral
−
sin
(
x
)
integral of sec^2(10x)
∫
sec
2
(
1
0
x
)
dx
integral of 2e^x+3
∫
2
e
x
+
3
dx
integral of x^2+ln(x)
∫
x
2
+
ln
(
x
)
dx
integral of x^3+4sqrt(x)
∫
x
3
+
4
√
x
dx
integral of sin^3(5θ)sqrt(cos(5θ))
∫
sin
3
(
5
θ
)
√
cos
(
5
θ
)
d
θ
integral of 1/(sqrt(4x^2+25))
∫
1
√
4
x
2
+
2
5
dx
integral of (2x^6-3x^4-x^3)/(x^3)
∫
2
x
6
−
3
x
4
−
x
3
x
3
dx
integral of (-9+8/(sqrt(p)))
∫
(
−
9
+
8
√
p
)
dp
integral of 2zcos(z^2)
∫
2
z
cos
(
z
2
)
dz
integral of ln^2(x)x^2
∫
ln
2
(
x
)
x
2
dx
integral of \sqrt[3]{1+sqrt(x)}
∫
3
√
1
+
√
x
dx
integral of ((2x-3)^2)/(3sqrt(x))
∫
(
2
x
−
3
)
2
3
√
x
dx
integral of 1/(2x^2-8x+10)
∫
1
2
x
2
−
8
x
+
1
0
dx
integral of (x^{1.4}+11x^{4.5})
∫
(
x
1
.
4
+
1
1
x
4
.
5
)
dx
integral of e^{-sx}sin(2x)
∫
e
−
sx
sin
(
2
x
)
dx
integral of (x^2+x+1)*e^{3x}
∫
(
x
2
+
x
+
1
)
·
e
3
x
dx
integral of-0.6x+55
∫
−
0
.
6
x
+
5
5
dx
integral of (3x-1)/(2x^2+8)
∫
3
x
−
1
2
x
2
+
8
dx
integral of-3e^{6x}sin(e^{6x})
∫
−
3
e
6
x
sin
(
e
6
x
)
dx
integral of x(4e^{x^2})
∫
x
(
4
e
x
2
)
dx
integral of (e^{2/t})/(t^2)
∫
e
2
t
t
2
dt
integral of-6xe^{x+1}
∫
−
6
xe
x
+
1
dx
integral of (28x)/(sqrt(x))
∫
2
8
x
√
x
dx
integral of ((x-1)^3)/((x+2)^5)
∫
(
x
−
1
)
3
(
x
+
2
)
5
dx
integral of a/(sqrt(x^2+a^2))
∫
a
√
x
2
+
a
2
dx
적분 1/(4-x)
integral
1
4
−
x
integral of (3-x^2)0.2^x
∫
(
3
−
x
2
)
0
.
2
x
dx
integral of (x^2+4x-5)
∫
(
x
2
+
4
x
−
5
)
dx
integral of cos(14x)sin(8x)
∫
cos
(
1
4
x
)
sin
(
8
x
)
dx
integral of xe^1
∫
xe
1
dx
integral of sec^3(x/2)
∫
sec
3
(
x
2
)
dx
integral of 3x^2-6sqrt(x)
∫
3
x
2
−
6
√
x
dx
integral of 20cos(x)e^{-2x}
∫
2
0
cos
(
x
)
e
−
2
x
dx
integral of (x^2+x+7)sqrt(x+3)
∫
(
x
2
+
x
+
7
)
√
x
+
3
dx
integral of (1+1/t)^3 1/(t^2)
∫
(
1
+
1
t
)
3
1
t
2
dt
integral of 1/(a^2)
∫
1
a
2
da
integral of x^{-3}+7x^{-1}
∫
x
−
3
+
7
x
−
1
dx
integral of 1/(sqrt(x(2-x)))
∫
1
√
x
(
2
−
x
)
dx
integral of csc^2(θ)cot^2(θ)
∫
csc
2
(
θ
)
cot
2
(
θ
)
d
θ
integral of (3cot(x)-sin^2(x))/(sin(x))
∫
3
cot
(
x
)
−
sin
2
(
x
)
sin
(
x
)
dx
integral of (x^2+1)cos(x^3+3x)
∫
(
x
2
+
1
)
cos
(
x
3
+
3
x
)
dx
integral of 7e^{7x}sin(7x)
∫
7
e
7
x
sin
(
7
x
)
dx
integral of 3sin(6t)
∫
3
sin
(
6
t
)
dt
integral of 6/(sqrt(4-x^2))
∫
6
√
4
−
x
2
dx
integral of sec(x)(3tan(x)+6sec(x))
∫
sec
(
x
)
(
3
tan
(
x
)
+
6
sec
(
x
)
)
dx
integral of (3x+5)/(sqrt(x+2))
∫
3
x
+
5
√
x
+
2
dx
integral of 2/(sqrt(x^2-4))
∫
2
√
x
2
−
4
dx
integral of sqrt(cos(3t))sin(3t)
∫
√
cos
(
3
t
)
sin
(
3
t
)
dt
integral of 8x^2sqrt(6x^3+5)
∫
8
x
2
√
6
x
3
+
5
dx
integral of ((sqrt(9-x^2))/(x^2))
∫
(
√
9
−
x
2
x
2
)
dx
integral of xsqrt(2x^2-5)
∫
x
√
2
x
2
−
5
dx
integral of 2xe^x-y+6x^2
∫
2
xe
x
−
y
+
6
x
2
dx
integral of (-2x)/((1+x^2))
∫
−
2
x
(
1
+
x
2
)
dx
integral of t^7
∫
t
7
dt
integral of (10x)/(3x^2+15)
∫
1
0
x
3
x
2
+
1
5
dx
integral of xsqrt(7x^2+12)
∫
x
√
7
x
2
+
1
2
dx
integral of (3-x)^{(-1)/2}
∫
(
3
−
x
)
−
1
2
dx
integral of x/(\sqrt[4]{x^2-3)}
∫
x
4
√
x
2
−
3
dx
integral of (1/(x^2+2))
∫
(
1
x
2
+
2
)
dx
integral of (5x+3)/(x^2-1)
∫
5
x
+
3
x
2
−
1
dx
integral of (cos^2(x))/(1+sin^2(x))
∫
cos
2
(
x
)
1
+
sin
2
(
x
)
dx
integral of (3x+2)/(x^2+9)
∫
3
x
+
2
x
2
+
9
dx
integral of (y^2-1)/y
∫
y
2
−
1
y
dy
integral of-5/(x^2sqrt(5+x^2))
∫
−
5
x
2
√
5
+
x
2
dx
integral of 8xsin(5-4x)
∫
8
x
sin
(
5
−
4
x
)
dx
integral of 3(x+4)^2
∫
3
(
x
+
4
)
2
dx
integral of 1/(sqrt(x)\sqrt{x-1)}
∫
1
√
x
√
x
−
1
dx
적분 x^2ln(x)
integral
x
2
ln
(
x
)
integral of x^2cos(1-1/4 x^3)
∫
x
2
cos
(
1
−
1
4
x
3
)
dx
integral of 15t^2sin(2000t)
∫
1
5
t
2
sin
(
2
0
0
0
t
)
dt
integral of 3ze^{-3yz}
∫
3
ze
−
3
yz
dy
integral of 7xsqrt(x^2+3)
∫
7
x
√
x
2
+
3
dx
integral of 6x^2arcos(x)
∫
6
x
2
ar
cos
(
x
)
dx
integral of 1/(4y-1)
∫
1
4
y
−
1
dy
integral of (x-1)/(x^2-5x+6)
∫
x
−
1
x
2
−
5
x
+
6
dx
integral of (1+x^7)^57x^6
∫
(
1
+
x
7
)
5
7
x
6
dx
integral of (2x+2)/(x^2+2x)
∫
2
x
+
2
x
2
+
2
x
dx
integral of t^2(t^3+4)^{-1/2}
∫
t
2
(
t
3
+
4
)
−
1
2
dt
integral of (4x^2-x)e^x
∫
(
4
x
2
−
x
)
e
x
dx
integral of 1/(sqrt(1-x-x^2))
∫
1
√
1
−
x
−
x
2
dx
integral of (8+x^2)^{-3/2}
∫
(
8
+
x
2
)
−
3
2
dx
integral of 1/(15x-2)
∫
1
1
5
x
−
2
dx
integral of-2cos^3(x)(cos^2(x))''sin(x)
∫
−
2
cos
3
(
x
)
(
cos
2
(
x
)
)
′
′
sin
(
x
)
dx
integral of 1/(sqrt(4x))
∫
1
√
4
x
dx
integral of-e^{2x^3}x^2
∫
−
e
2
x
3
x
2
dx
integral of xe^{3-4x^2}
∫
xe
3
−
4
x
2
dx
integral of ((ln(x)))/(sqrt(x))
∫
(
ln
(
x
)
)
√
x
dx
integral of (24x)/(2x+3)
∫
2
4
x
2
x
+
3
dx
integral of 3/(25+16x^2)
∫
3
2
5
+
1
6
x
2
dx
integral of 9sec(x)tan(x)
∫
9
sec
(
x
)
tan
(
x
)
dx
integral of (5x+3)/(x^2-4)
∫
5
x
+
3
x
2
−
4
dx
integral of (6x)/(sqrt(x^2+4))
∫
6
x
√
x
2
+
4
dx
적분 x/(1+x^2)
integral
x
1
+
x
2
1
..
1663
1664
1665
1666
1667
..
2459