If I= ^ 3 2 x ^ 5 x d x and f(x) = (cot x) 3/2 , g(x) = (cot x) 5/2 , then I equals
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(I=\int \frac{\sqrt{\sin ^{3} 2 x}}{\sin ^{5} x} d x\)and f(x) = (cot x)3/2, g(x) = (cot x)5/2, then I equals
- \(\frac{2 \sqrt{3}}{3} f(x)-\frac{1}{5} g(x)+c\)
- \(-\frac{4 \sqrt{2}}{5} g(x)+c\)
- \(\frac{1}{2 \sqrt{3}} \mathrm{f}(\mathrm{x})+\mathrm{c}\)
- \(\frac{2 \sqrt{2}}{3} f(x)+\frac{1}{5} g(x)+c\)
Answer
(B) - 4 2 5 g(x)+c
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