Evaluate [1- ^ n-2 x ] x+ x ^ n-2 x d x .
Mathematics · JEE Main · NTA Exams — Integral Calculus
Evaluate \(\int \frac{\left[1-\cot ^{n-2} x\right]}{\tan x+\cot x \cdot \cot ^{n-2} x} d x\).
- \(\frac{1}{n} \log \left|\sin ^{n} x+\cos ^{n} x\right|+c\)
- \(\frac{1}{n-1} \log \left|\sin ^{n-1} x+\cos ^{n-1} x\right|+c\)
- \(\frac{1}{n} \log \left|\tan ^{n-2} x+\cot ^{n-2} x\right|+C\)
- None of these
Answer
(D) None of these
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