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Math Problems
Calculus
Find indefinite integrals using the substitution and by parts
Evaluate the integral.
\newline
∫
−
4
x
sin
(
4
x
+
5
)
d
x
\int-4 x \sin (4 x+5) d x
∫
−
4
x
sin
(
4
x
+
5
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
5
x
e
x
+
6
d
x
\int 5 x e^{x+6} d x
∫
5
x
e
x
+
6
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
4
x
e
−
3
x
+
1
d
x
\int 4 x e^{-3 x+1} d x
∫
4
x
e
−
3
x
+
1
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
x
−
2
ln
(
−
x
)
d
x
\int x^{-2} \ln (-x) d x
∫
x
−
2
ln
(
−
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
x
4
−
3
x
d
x
\int-x 4^{-3 x} d x
∫
−
x
4
−
3
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
6
x
3
e
−
2
x
d
x
\int 6 x^{3} e^{-2 x} d x
∫
6
x
3
e
−
2
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
x
5
3
x
d
x
\int x 5^{3 x} d x
∫
x
5
3
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
2
x
e
2
x
d
x
\int-2 x e^{2 x} d x
∫
−
2
x
e
2
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
2
x
cos
(
−
2
x
)
d
x
\int-2 x \cos (-2 x) d x
∫
−
2
x
cos
(
−
2
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
x
cos
(
−
3
x
)
d
x
\int-x \cos (-3 x) d x
∫
−
x
cos
(
−
3
x
)
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
6
x
2
5
3
x
d
x
\int 6 x^{2} 5^{3 x} d x
∫
6
x
2
5
3
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
6
x
4
−
4
x
d
x
\int-6 x 4^{-4 x} d x
∫
−
6
x
4
−
4
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
6
x
2
2
3
x
d
x
\int 6 x^{2} 2^{3 x} d x
∫
6
x
2
2
3
x
d
x
\newline
Answer:
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Evaluate the integral.
\newline
∫
−
3
x
sin
(
−
2
x
)
d
x
\int-3 x \sin (-2 x) d x
∫
−
3
x
sin
(
−
2
x
)
d
x
\newline
Answer:
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