\int {1}/{(\sin x+\cos x+\sqrt{2} \sqrt{\sin 2 x})^{2}} d x=

Correct Answer is : −(1+3√tanx)3(1+√tanx)3+C

{-(1+3 \sqrt{\tan x})}/{(3+\tan ^{2} x)^{3}}+C

{-(1+3 \sqrt{\tan x})}/{3(1+\sqrt{\tan x})^{3}}+C

{-(1+\sqrt{\tan x})}/{3(1+3 \sqrt{\tan x})^{2}}+C

{1}/{(1+3 \sqrt{\tan x})^{3}}+C

AP EAPCET 06-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 72 of 160

Marks: +1, -0

∫‌

(sin‌x+cos‌x+√2√sin‌2‌x)2

dx=

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