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Connect with and evaluate .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Connect
∫
x
m
−
1
(
a
+
b
x
n
)
p
d
x
\int x^{m-1} (a + bx^n)^p dx
∫
x
m
−
1
(
a
+
b
x
n
)
p
d
x
with
∫
x
m
−
n
−
1
(
a
+
b
x
n
)
p
d
x
\int x^{m-n-1} (a + bx^n)^p dx
∫
x
m
−
n
−
1
(
a
+
b
x
n
)
p
d
x
and evaluate
∫
x
8
d
x
(
1
−
x
3
)
1
/
3
\int \frac{x^8 dx}{(1 - x^3)^{1/3}}
∫
(
1
−
x
3
)
1/3
x
8
d
x
.
Related theory
Integration Techniques
Standard algebraic integrals
Integrals of additional types
Integrals
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