cosec x ^ 2 (1+ x 2 ) d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \frac{\operatorname{cosec} x}{\cos ^{2}\left(1+\log \tan \frac{x}{2}\right)} d x\) is equal to
- \(\sin ^{2}\left[1+\log \tan \frac{x}{2}\right]+c\)
- \(\tan \left[1+\log \tan \frac{x}{2}\right]+c\)
- \(\sec ^{2}\left[1+\log \tan \frac{x}{2}\right]+c\)
- \(-\tan \left[1+\log \tan \frac{x}{2}\right]+c\)
Answer
(D) - [1+ x 2 ]+c
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