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

$\int\frac{x^2\,\,\,1}{x^4\,\,\,1}dx$
The area bounded by the curve $y = \sin x$, $x$-axis and the ordinates $x = 0$ and $x = \pi /2$ is
$\int\limits^{\pi/2}_{0} \frac{2^{\sin x}}{2^{\sin x} + 2^{\cos x}} dx $ equals