The value of the integral ^ 3 x+ ^ 5 x ^ 2 x+ ^ 4 x d x is
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
The value of the integral \(\int \frac{\cos ^{3} x+\cos ^{5} x}{\sin ^{2} x+\sin ^{4} x} d x\) is
- sin x – 6 tan–1 (sin x) + c
- sin x – 2 (sin x)–1 + c
- sin x – 2 (sin x)–1 – 6 tan–1 (sin x) + c
- sin x – 2 (sin x)–1 + 5 tan–1 (sin x) + c
Answer
(C) sin x – 2 (sin x ) –1 – 6 tan –1 (sin x ) + c
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