List of top Mathematics Questions on Integration by Parts asked in CBSE CLASS XII

Evaluate : \( \displaystyle\int_{0}^{1} x \sin^{-1}x \, dx \)

Evaluate : \(\displaystyle\int_{0}^{1} x\tan^{-1}x\,dx\).

Find : \( \int \tan^{-1}\left(\frac{1 - x}{1 + x}\right) \, dx \)
Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]
Find: \[ \int \frac{2x}{(x^2 + 3)(x^2 - 5)} \, dx \]
Find: \( \int 2x^3 e^{x^2} \,dx \).