JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

I=\int \frac{1}{\left(a^2-b^2 x^2\right)^{3 / 2}} d x

is equal to

View answer and explanation

Correct option: B

\frac{x}{a^2 \sqrt{a^2-b^2 x^2}}+C

Option B is correct because the integral simplifies to x / (a² * sqrt(a² - b² * x²)) + C after trigonometric substitution.

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