x- x ( x+ x) x x+ ^ 2 x ^ 2 x d x=
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
\(\int \frac{\sin x-\cos x}{(\sin x+\cos x) \sqrt{\sin x \cos x+\sin ^{2} x \cos ^{2} x}} d x=\)
- –sin (sin 2x + 1) + c
- cosec (sin 2x + 1)
- –sec–1 (sin 2x + 1) + c
- tan–1 (sin 2x + 1) + c
Answer
(C) –sec –1 (sin 2x + 1) + c
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