AP EAMCET · Maths · Indefinite Integration
\(\int \frac{d x}{\sqrt{\sin ^3 x \cos (x-\alpha)}}=\)
- A \(\frac{1}{\sqrt{\cos \alpha}} \sqrt{\cot ^4 x+\tan \alpha}+c\)
- B \(\frac{1}{\sqrt{\cos \alpha}} \sqrt{\cot x-\tan \alpha}+c\)
- C \(\frac{-1}{\sqrt{\sin \alpha}} \sqrt{\cot x+\tan \alpha}+c\)
- D \(\frac{-2}{\sqrt{\cos \alpha}} \sqrt{\cot x+\tan \alpha}+c\)
Answer & Solution
Correct Answer
(D) \(\frac{-2}{\sqrt{\cos \alpha}} \sqrt{\cot x+\tan \alpha}+c\)
Step-by-step Solution
Detailed explanation
\(I=\int \frac{d x}{\sqrt{\sin ^3 x \cos (x-\alpha)}}\)…
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