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Describe how the form of the antiderivative differs between and for an integer .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Describe how the form of the antiderivative differs between
∫
d
x
x
−
a
\displaystyle \int \frac{dx}{x-a}
∫
x
−
a
d
x
and
∫
d
x
(
x
−
a
)
n
\displaystyle \int \frac{dx}{(x-a)^n}
∫
(
x
−
a
)
n
d
x
for an integer
n
>
1
n>1
n
>
1
.
Related theory
Antiderivatives
Standard algebraic integrals
Integrals of standard functions
Integrals
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