AP EAMCET · Maths · Indefinite Integration
For any integer \(\mathrm{n} \geq 2\), if \(\mathrm{I}_n=\int \cot ^n x d x\) then \(\mathrm{I}_5=\)
- A \(\frac{-\cot ^4 x}{4}+\frac{\cot ^2 x}{2}+\log |\sin x|+c\)
- B \(\frac{-\cot ^4 x}{4}+\frac{\cot ^2 x}{2}-\log |\sin x|+c\)
- C \(\frac{\cot ^4 x}{4}+\frac{\cot ^2 x}{2}+\log |\cos x|+c\)
- D \(\frac{\cot ^4 x}{4}-\frac{\cot ^2 x}{2}-\cot x+c\)
Answer & Solution
Correct Answer
(A) \(\frac{-\cot ^4 x}{4}+\frac{\cot ^2 x}{2}+\log |\sin x|+c\)
Step-by-step Solution
Detailed explanation
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