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If $\int \frac{s i n^{2} x}{1 + s i n^{2} x} d x = x - K t a n^{- 1} (M t a n x) + C$ then

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M=12

K=12

M=−12

K=−12

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detailed solution

Correct option is B

sin2⁡x1+sin2⁡x=1−11+sin2⁡x=1−sec2⁡x1+2tan2⁡xSo ∫sin2⁡x1+sin2⁡x=x−12tan−1⁡(2tan⁡x)+C.

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If ∫sin2⁡x1+sin2⁡xdx=x−Ktan−1⁡(Mtan⁡x)+C then

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If $\int \frac{s i n^{2} x}{1 + s i n^{2} x} d x = x - K t a n^{- 1} (M t a n x) + C$ then