List of top Mathematics Questions on Integration asked in KEAM

$\int\frac{2+3x}{2\sqrt{1+x}}dx$ is equal to} \textit{Note: The original exam paper contained a typographical error in the denominator ($1+c$ instead of $1+x$). It has been corrected here to match the given solutions.

$\int\frac{x\cos x-\sin x}{x^{2}}dx$ is equal to

$\int x(1+2\log x)dx$ is equal to

$\int\frac{\tan x+\cot x}{1+\tan^{2}x}dx$ is equal to

$\int e^{-x}(1+(1-x)\log x)dx$ is equal to