JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Let

\int \frac{\cos x}{\sin ^3 x\left(1+\sin ^6 x\right)^{2 / 3}} d x=f(x)\left(1+\sin ^6 x\right)^{1 / \lambda}+C.

Then

\lambda f\left(\frac{\pi}{3}\right)=

View answer and explanation

Correct option: B

-2

Option B (-2) is correct because after simplifying and substituting, the value of

\lambda f(\frac{\pi}{3})

is -2.

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