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Math Problems
Calculus
Find indefinite integrals using the substitution
Evaluate the integral.
\newline
∫
x
2
(
2
x
−
5
)
2
d
x
\int x^{2}(2 x-5)^{2} \mathrm{~d} x
∫
x
2
(
2
x
−
5
)
2
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
(
28
x
3
+
6
x
2
)
d
x
\int\left(28 x^{3}+6 x^{2}\right) d x
∫
(
28
x
3
+
6
x
2
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
21
x
4
−
3
x
2
−
6
x
2
d
x
\int \frac{21 x^{4}-3 x^{2}-6}{x^{2}} \mathrm{~d} x
∫
x
2
21
x
4
−
3
x
2
−
6
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
(
−
24
x
5
+
10
x
4
)
d
x
\int\left(-\frac{24}{x^{5}}+10 x^{4}\right) d x
∫
(
−
x
5
24
+
10
x
4
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
(
−
30
x
5
+
18
x
2
)
d
x
\int\left(-30 x^{5}+18 x^{2}\right) d x
∫
(
−
30
x
5
+
18
x
2
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
x
2
(
x
+
5
)
2
d
x
\int x^{2}(x+5)^{2} \mathrm{~d} x
∫
x
2
(
x
+
5
)
2
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
9
x
3
−
2
x
2
−
4
x
x
d
x
\int \frac{9 x^{3}-2 x^{2}-4 x}{x} \mathrm{~d} x
∫
x
9
x
3
−
2
x
2
−
4
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
(
−
16
x
3
−
21
x
2
)
d
x
\int\left(-16 x^{3}-21 x^{2}\right) d x
∫
(
−
16
x
3
−
21
x
2
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
4
x
4
+
24
x
3
−
8
x
2
x
d
x
\int \frac{4 x^{4}+24 x^{3}-8 x^{2}}{x} \mathrm{~d} x
∫
x
4
x
4
+
24
x
3
−
8
x
2
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
2
x
4
−
3
x
3
+
x
x
3
d
x
\int \frac{2 x^{4}-3 x^{3}+x}{x^{3}} \mathrm{~d} x
∫
x
3
2
x
4
−
3
x
3
+
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
15
x
3
+
2
x
2
−
8
x
x
d
x
\int \frac{15 x^{3}+2 x^{2}-8 x}{x} \mathrm{~d} x
∫
x
15
x
3
+
2
x
2
−
8
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
(
5
x
5
−
9
x
5
)
d
x
\int\left(\frac{5}{x^{5}}-9 x^{5}\right) \mathrm{d} x
∫
(
x
5
5
−
9
x
5
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
20
x
4
+
8
x
2
+
5
x
x
d
x
\int \frac{20 x^{4}+8 x^{2}+5 x}{x} \mathrm{~d} x
∫
x
20
x
4
+
8
x
2
+
5
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
(
x
−
1
)
(
4
x
−
5
)
d
x
\int(x-1)(4 x-5) \mathrm{d} x
∫
(
x
−
1
)
(
4
x
−
5
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
(
4
x
2
+
24
x
4
)
d
x
\int\left(\frac{4}{x^{2}}+\frac{24}{x^{4}}\right) \mathrm{d} x
∫
(
x
2
4
+
x
4
24
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
log
9
x
x
d
x
\int \frac{\log_{9}x}{x}dx
∫
x
l
o
g
9
x
d
x
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∫
3
x
−
2
d
x
\int 3x^{-2}\,dx
∫
3
x
−
2
d
x
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∫
t
1
+
t
2
d
t
\int t\sqrt{1+t^{2}}\,dt
∫
t
1
+
t
2
d
t
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∫
x
2
−
3
x
+
5
x
d
x
\int \frac{x^{2}-3x+5}{\sqrt{x}} \, dx
∫
x
x
2
−
3
x
+
5
d
x
Get tutor help
Which of the following complex numbers is equivalent to
(
3
−
5
i
)
/
(
8
+
2
i
)
(3-5i)/(8+2i)
(
3
−
5
i
)
/
(
8
+
2
i
)
? (Note:
i
=
−
1
i=\sqrt{-1}
i
=
−
1
)
\newline
A)
(
3
)
/
(
8
)
−
(
5
i
)
/
(
2
)
(3)/(8)-(5i)/(2)
(
3
)
/
(
8
)
−
(
5
i
)
/
(
2
)
\newline
B)
(
3
)
/
(
8
)
+
(
5
i
)
/
(
2
)
(3)/(8)+(5i)/(2)
(
3
)
/
(
8
)
+
(
5
i
)
/
(
2
)
\newline
C)
(
7
)
/
(
34
)
−
(
23
i
)
/
(
34
)
(7)/(34)-(23 i)/(34)
(
7
)
/
(
34
)
−
(
23
i
)
/
(
34
)
\newline
D)
(
7
)
/
(
34
)
+
(
23
i
)
/
(
34
)
(7)/(34)+(23 i)/(34)
(
7
)
/
(
34
)
+
(
23
i
)
/
(
34
)
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∫
cos
9
x
cos
12
x
d
x
\int \cos 9x \cos 12x \, dx
∫
cos
9
x
cos
12
x
d
x
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Evaluate the integral.
\newline
∫
2
x
sin
(
−
4
x
)
d
x
\int 2 x \sin (-4 x) d x
∫
2
x
sin
(
−
4
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
4
x
3
sin
(
4
x
)
d
x
\int 4 x^{3} \sin (4 x) d x
∫
4
x
3
sin
(
4
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
4
x
3
cos
(
−
4
x
)
d
x
\int 4 x^{3} \cos (-4 x) d x
∫
4
x
3
cos
(
−
4
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
6
x
e
−
x
d
x
\int-6 x e^{-x} d x
∫
−
6
x
e
−
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
3
x
e
−
4
x
d
x
\int 3 x e^{-4 x} d x
∫
3
x
e
−
4
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
2
x
2
e
−
x
d
x
\int 2 x^{2} e^{-x} d x
∫
2
x
2
e
−
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
4
x
2
sin
(
3
x
)
d
x
\int 4 x^{2} \sin (3 x) d x
∫
4
x
2
sin
(
3
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
2
x
2
e
4
x
d
x
\int 2 x^{2} e^{4 x} d x
∫
2
x
2
e
4
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
x
2
e
2
x
d
x
\int-x^{2} e^{2 x} d x
∫
−
x
2
e
2
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
2
x
2
4
−
2
x
d
x
\int 2 x^{2} 4^{-2 x} d x
∫
2
x
2
4
−
2
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
2
x
e
4
x
d
x
\int-2 x e^{4 x} d x
∫
−
2
x
e
4
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
3
x
sin
(
−
x
)
d
x
\int 3 x \sin (-x) d x
∫
3
x
sin
(
−
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
x
e
2
x
d
x
\int x e^{2 x} d x
∫
x
e
2
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
2
x
2
ln
(
4
x
)
d
x
\int-2 x^{2} \ln (4 x) d x
∫
−
2
x
2
ln
(
4
x
)
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
−
5
x
cos
(
5
x
+
5
)
d
x
\int-5 x \cos (5 x+5) d x
∫
−
5
x
cos
(
5
x
+
5
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
5
x
cos
(
3
x
)
d
x
\int-5 x \cos (3 x) d x
∫
−
5
x
cos
(
3
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
6
x
e
x
+
2
d
x
\int 6 x e^{x+2} d x
∫
6
x
e
x
+
2
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
4
x
ln
(
6
x
)
d
x
\int-4 x \ln (6 x) d x
∫
−
4
x
ln
(
6
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
6
x
cos
(
4
x
)
d
x
\int 6 x \cos (4 x) d x
∫
6
x
cos
(
4
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
2
x
e
x
+
5
d
x
\int-2 x e^{x+5} d x
∫
−
2
x
e
x
+
5
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
−
4
x
−
2
ln
(
x
)
d
x
\int-4 x^{-2} \ln (x) d x
∫
−
4
x
−
2
ln
(
x
)
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
−
x
e
−
x
+
4
d
x
\int-x e^{-x+4} d x
∫
−
x
e
−
x
+
4
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
−
x
ln
(
−
2
x
)
d
x
\int-x \ln (-2 x) d x
∫
−
x
ln
(
−
2
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
2
x
e
3
x
+
2
d
x
\int-2 x e^{3 x+2} d x
∫
−
2
x
e
3
x
+
2
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
−
x
−
3
ln
(
5
x
)
d
x
\int-x^{-3} \ln (5 x) d x
∫
−
x
−
3
ln
(
5
x
)
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
4
x
2
ln
(
−
4
x
)
d
x
\int 4 x^{2} \ln (-4 x) d x
∫
4
x
2
ln
(
−
4
x
)
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
2
x
2
ln
(
−
3
x
)
d
x
\int 2 x^{2} \ln (-3 x) d x
∫
2
x
2
ln
(
−
3
x
)
d
x
\newline
Answer:
Get tutor help
Evaluate the integral.
\newline
∫
5
x
e
3
x
d
x
\int 5 x e^{3 x} d x
∫
5
x
e
3
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
x
cos
(
−
2
x
+
6
)
d
x
\int-x \cos (-2 x+6) d x
∫
−
x
cos
(
−
2
x
+
6
)
d
x
\newline
Answer:
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