If I_ n = _ - ^ n x (1+ ^ x ) x d x, n=0,1,2, . , then
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(I_{n}=\int_{-\pi}^{\pi} \frac{\sin n x}{\left(1+\pi^{x}\right) \sin x} d x, n=0,1,2, \ldots .\), then
- In = In + 2
- In = In + 1
Answer
(A) I n = I n + 2
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