JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{x^7}{\left(1-x^2\right)^5} d x

is equal to:

View answer and explanation

Correct option: D

\frac{1}{8} \cdot \frac{x^8}{\left(1-x^2\right)^4}

Option D,

\frac{{1}}{{8}} \cdot \frac{{x^8}}{{(1-x^2)^4}}

, is correct because using trigonometric substitution

x = \sin \theta

simplifies the integral, leading to this result.

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