JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{\sin x}{\cos ^{3 / 2} x} d x

is equal to

View answer and explanation

Correct option: C

2 \sqrt{\sec x}+c

Option C is correct because substituting

t = \cos x

leads to a simple power rule integration, resulting in

2\sqrt{\sec x} + c

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\int \frac{1-7 \cos ^2 x}{\sin ^7 x \cos ^2 x} d x=\frac{f(x)}{\sin ^7 x}+C

\int {e}^{{x}^2}\left(2-\frac{1}{{x}^2}\right) {de}={e}^{{x}^2} {f}({x})+{C}

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