Evaluate 1 ^ 3 x (x+x) d x, x n , n I .

Mathematics · JEE Main · NTA ExamsIntegral Calculus

Evaluate \(\int \frac{1}{\sqrt{\sin ^{3} x \cdot \sin (x+x)}} d x, x \neq n \pi, n \in I\).
  1. \(\frac{2}{\sin x} \sqrt{\frac{\sin (x+x)}{\sin x}}+c\)
  2. \(\frac{-2}{\sin x} \sqrt{\frac{\sin (x+x)}{\sin x}}+c\)
  3. \(\frac{2}{\sin x} \sqrt{\frac{\sin (x+x)}{\cos x}}+C\)
  4. None of these

Answer

(B) -2 x (x+x) x +c

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