List of top Mathematics Questions on Integration by Parts asked in KEAM

$\int \frac{x \cos 2x}{\cos x - \sin x} dx = $}
The value of \(\int 16x^3 \log_e x dx\) is equal to
\(∫_0^1 (5xe^{2x}-tan(π/4)) dx=\)
\(∫xlog(1+x^2)dx=\)?