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

Evaluate : \[ \int_{0}^{1} \frac{x \tan^{-1} x}{(1 + x^2)^{3/2}} dx \]
Find : \( \int \tan^{-1} \left( \sqrt{\frac{1-x}{1+x}} \right) \, dx \)
Evaluate : \( \int_{0}^{1} \log(1 + x^2)dx \)
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: \( \int 2x^3 e^{x^2} \,dx \).