JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\int \frac{d x}{\cos ^3 x \sqrt{2 \sin 2 x}}=(\tan x)^{\mathrm{A}}+\mathrm{C}(\tan x)^B+k

, where

k

is a constant of integration, then

\mathrm{A}+\mathrm{B}+\mathrm{C}

equals:

View answer and explanation

Correct option: A

\frac{16}{5}

Option A (

\frac{16}{5}

) is correct. By substituting tan x = t² and solving the integral, we find A, B, and C, and their sum is 16/5.

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