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일반적인 미적분학 문제
integral of ye^{x^3}
∫
ye
x
3
integral of 5x^4e^{5x^5}
∫
5
x
4
e
5
x
5
dx
integral of (x/(sqrt(x^2-4)))
∫
(
x
√
x
2
−
4
)
dx
integral of (2x)^{-1/2}
∫
(
2
x
)
−
1
2
dx
integral of e^2x^2
∫
e
2
x
2
dx
integral of sqrt((5-2x)/(4+3x))
∫
√
5
−
2
x
4
+
3
x
dx
integral of-2/(1+x^2)
∫
−
2
1
+
x
2
dx
integral of sqrt(cos^2(x)+sin^2(x))
∫
√
cos
2
(
x
)
+
sin
2
(
x
)
dx
integral of 2/(200+x)
∫
2
2
0
0
+
x
dx
integral of (x^2*arctan(x))/(1+x^2)
∫
x
2
·
arctan
(
x
)
1
+
x
2
dx
integral of sin(x)(2+cos(x))^2
∫
sin
(
x
)
(
2
+
cos
(
x
)
)
2
dx
integral of (arctan(t))^2
∫
(
arctan
(
t
)
)
2
dt
integral of cosh(5t-10)
∫
cosh
(
5
t
−
1
0
)
dt
integral of eln(x)
∫
e
ln
(
x
)
dx
integral of (x^2ln(x))/((x^3+1)^2)
∫
x
2
ln
(
x
)
(
x
3
+
1
)
2
dx
integral of x/((1+x)(1+x^2))
∫
x
(
1
+
x
)
(
1
+
x
2
)
dx
integral of (cos(x))/(x^4)
∫
cos
(
x
)
x
4
dx
integral of (1/(x+1))^2
∫
(
1
x
+
1
)
2
dx
integral of (sin(x))/(cos^2(x)-9)
∫
sin
(
x
)
cos
2
(
x
)
−
9
dx
integral of (3ln^3(x)+5ln(x^2))/x
∫
3
ln
3
(
x
)
+
5
ln
(
x
2
)
x
dx
integral of-(2x)/((x^2+1)^2)
∫
−
2
x
(
x
2
+
1
)
2
dx
integral of x(x^2+6)^{67}
∫
x
(
x
2
+
6
)
6
7
dx
integral of x^2(x^3+1)^{15}
∫
x
2
(
x
3
+
1
)
1
5
dx
integral of (3/(x^3)+1/(sqrt(2-x^2))+3)
∫
(
3
x
3
+
1
√
2
−
x
2
+
3
)
dx
integral of (4-y)/2
∫
4
−
y
2
dy
integral of-5sin(x)+5cos(x)
∫
−
5
sin
(
x
)
+
5
cos
(
x
)
dx
integral of (5x)/((4+x^2)^6)
∫
5
x
(
4
+
x
2
)
6
dx
integral of 3x^2(cos^2(x)+sin^2(x))
∫
3
x
2
(
cos
2
(
x
)
+
sin
2
(
x
)
)
dx
integral of x^5*sqrt(x^3+1)
∫
x
5
·
√
x
3
+
1
dx
integral of-25sin(5x-pi/2)
∫
−
2
5
sin
(
5
x
−
π
2
)
dx
integral of (x+1)cos(3x)
∫
(
x
+
1
)
cos
(
3
x
)
dx
integral of x^9sqrt(x)
∫
x
9
√
x
dx
integral of (z^2)/(\sqrt[3]{2+z^3)}
∫
z
2
3
√
2
+
z
3
dz
integral of 6+2x
∫
6
+
2
xdx
integral of (-3x^{-2})
∫
(
−
3
x
−
2
)
dx
integral of (e^x)/(e^x-3)
∫
e
x
e
x
−
3
dx
integral of x/(x^2+10)
∫
x
x
2
+
1
0
dx
integral of (3x)/(x^2+4x+5)
∫
3
x
x
2
+
4
x
+
5
dx
integral of 5e^xsin(2x)
∫
5
e
x
sin
(
2
x
)
dx
integral of 8x(2x-1)^4
∫
8
x
(
2
x
−
1
)
4
dx
integral of cos^3(x)+sin^3(x)
∫
cos
3
(
x
)
+
sin
3
(
x
)
dx
integral of 5^{3/4}
∫
5
3
4
dx
integral of (-x^2+x+2)
∫
(
−
x
2
+
x
+
2
)
dx
integral of sin^3(x)+sin(x)cos^3(x)
∫
sin
3
(
x
)
+
sin
(
x
)
cos
3
(
x
)
dx
integral of (2019+sec(x)tan(x)-e^x)
∫
(
2
0
1
9
+
sec
(
x
)
tan
(
x
)
−
e
x
)
dx
integral of 0.5e^{-0.4x}
∫
0
.
5
e
−
0
.
4
x
dx
integral of xe^{xz}
∫
xe
xz
dz
integral of 45x*e^{3x}
∫
4
5
x
·
e
3
x
dx
integral of 3/4 e^{2x}
∫
3
4
e
2
x
dx
integral of-1/(5tsqrt(25t^2-25))
∫
−
1
5
t
√
2
5
t
2
−
2
5
dt
integral of 1/(6xlog_{3)(x)}
∫
1
6
x
log
3
(
x
)
dx
integral of (1-cos(2x))^{1/2}
∫
(
1
−
cos
(
2
x
)
)
1
2
dx
integral of (x^2-14)^9(2x)
∫
(
x
2
−
1
4
)
9
(
2
x
)
dx
integral of (tan(x)+sec(x))(cos(x))
∫
(
tan
(
x
)
+
sec
(
x
)
)
(
cos
(
x
)
)
dx
integral of x(1-4x^2)
∫
x
(
1
−
4
x
2
)
dx
integral of 6/(sqrt(3-2t-t^2))
∫
6
√
3
−
2
t
−
t
2
dt
integral of 8x^9
∫
8
x
9
dx
integral of s^{1/5}cos(s^{6/5}+3)
∫
s
1
5
cos
(
s
6
5
+
3
)
ds
integral of 1-3/(x^2+3)
∫
1
−
3
x
2
+
3
dx
integral of (x^3+8)^53x^2
∫
(
x
3
+
8
)
5
3
x
2
dx
integral of 2e^{0.2x}
∫
2
e
0
.
2
x
dx
integral of x/((3x+1)^2)
∫
x
(
3
x
+
1
)
2
dx
integral of 4sqrt(x)+8
∫
4
√
x
+
8
dx
integral of sec^{3x}(x
∫
sec
3
x
(
d
)
xdx
integral of (cos(ax))/(sin(ax))
∫
cos
(
ax
)
sin
(
ax
)
dx
integral of 2x*ln(x^2)
∫
2
x
·
ln
(
x
2
)
dx
integral of 3/((x-2)^2+9)
∫
3
(
x
−
2
)
2
+
9
dx
integral of-2x^2+10x
∫
−
2
x
2
+
1
0
xdx
integral of 1/(x(x^2+16))
∫
1
x
(
x
2
+
1
6
)
dx
integral of tan(7-2x)
∫
tan
(
7
−
2
x
)
dx
integral of (x+3)/(sqrt(-4x-x^2))
∫
x
+
3
√
−
4
x
−
x
2
dx
integral of (-ln(x))
∫
(
−
ln
(
x
)
)
dx
integral of ((e^{-x}+5)^3)/(e^x)
∫
(
e
−
x
+
5
)
3
e
x
dx
integral of-cos(θ)+sin(θ)+4
∫
−
cos
(
θ
)
+
sin
(
θ
)
+
4
d
θ
integral of sqrt(u+1)
∫
√
u
+
1
du
integral of y^2+2
∫
y
2
+
2
dy
integral of (5x+7)
∫
(
5
x
+
7
)
dx
integral of 1/((x^2-2)^{3/2)}
∫
1
(
x
2
−
2
)
3
2
dx
integral of-11sin(x)
∫
−
1
1
sin
(
x
)
dx
integral of 3/(6x-9)
∫
3
6
x
−
9
dx
integral of (e^xsin(x))/2
∫
e
x
sin
(
x
)
2
dx
integral of (e^{3x})/(sqrt(1-e^{2x))}
∫
e
3
x
√
1
−
e
2
x
dx
integral of x(3x^2+7)^9
∫
x
(
3
x
2
+
7
)
9
dx
integral of 3/(60-x)
∫
3
6
0
−
x
dx
integral of 6xsqrt(x^2+1)
∫
6
x
√
x
2
+
1
dx
integral of 5sin^3(4x)
∫
5
sin
3
(
4
x
)
dx
적분 (x^1)/2
integral
x
1
2
integral of 1/(\sqrt[4]{x^3)+sqrt(x)}
∫
1
4
√
x
3
+
√
x
dx
integral of (cos(2x))/(sin^4(2x))
∫
cos
(
2
x
)
sin
4
(
2
x
)
dx
integral of (6x^3+1/(5x^7)-4)
∫
(
6
x
3
+
1
5
x
7
−
4
)
dx
integral of-sqrt(13)x^{-37}
∫
−
√
1
3
x
−
3
7
dx
integral of sqrt(1+3y)
∫
√
1
+
3
y
dy
integral of 6/((x-2)^2)
∫
6
(
x
−
2
)
2
dx
integral of (8x(8-3x^2)^{1/3})/3
∫
8
x
(
8
−
3
x
2
)
1
3
3
dx
integral of-9/(9+x^2)
∫
−
9
9
+
x
2
dx
integral of 6x^2(x^3+1)^{19}
∫
6
x
2
(
x
3
+
1
)
1
9
dx
integral of (2x-1)ln(3x)
∫
(
2
x
−
1
)
ln
(
3
x
)
dx
integral of 1/((1-3x))
∫
1
(
1
−
3
x
)
dx
integral of x*sqrt(4x^2+1)
∫
x
·
√
4
x
2
+
1
dx
integral of au
∫
audu
1
..
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1738
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