CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

∫etan⁡−1x(1+x+x21+x2) dx\int e^{\tan^{-1}x}\left(\frac{1+x+x^2}{1+x^2}\right)\,dx is equal to (a) xetan⁡−1x+Cxe^{\tan^{-1}x}+C (b) x2etan⁡−1x+Cx^2e^{\tan^{-1}x}+C (c) 1xetan⁡−1x+C\frac{1}{x}e^{\tan^{-1}x}+C (d) None of these

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