List of top Mathematics Questions on Integrals of Some Particular Functions asked in KEAM

$\int (\cot 2x + \csc 2x) dx = $

\(\int \frac{10e^x}{(2e^x + 5)^3} dx\) is equal to 
 

$\int(\sin^{-1}\sqrt{x}+\cos^{-1}\sqrt{x})dx=$ ________.
$\int\frac{\sin 2x}{\sin x}dx=$ ________.