If \int^{b}_{a} \tan^{-1} x dx = P (a , b ∊ R and a + b = 1) and \int^{b}_{a} \cot^{-1} (1 - x + x^2) dx = nP then 'n' equals (P ≠ 0)

JEE Advanced Model Paper 17 with solutions for online practice

Question : 58 of 60

Marks: +1, -0

∫

tan−1 x dx = P (a , b ∊ R and a + b = 1) and

∫

cot−1 (1 - x + x2) dx = nP then 'n' equals (P ≠ 0)

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