Mathematics · 2016
JEE Main · 9 April 2016, Shift 1 · Q74
If ∫ (d x)/(cos^3 x √(2 sin 2 x))=( tan x)^A + C ( tan x)^B +k where k is a constant of integration, then A + B + C equals:
If
$$\int \frac{d x}{\cos ^3 x \sqrt{2 \sin 2 x}}=(\tan x)^{\mathrm{A}}+\mathrm{C}(\tan x)^{\mathrm{B}}+k
$$
where $\displaystyle k$ is a constant of integration, then $\displaystyle \mathrm{A}+\mathrm{B}+\mathrm{C}$ equals :
Official answer
(2)
$\displaystyle \frac{16}{5}$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.