$\int \frac{\sec x}{\sec x+\tan x} dx$ is equal to

If $f(x)=x$ and $g(x)=\sin x$,then $\int f(g(x)) \, dx$ is equal to

The velocity of a particle at time $t$ is given by the relation $v = 6t - \frac{t^2}{6}$. Its displacement $S$ is zero at $t = 0$,then the distance travelled in $3 \text{ s}$ is

If $\int \frac{1}{1-\cos x} dx = \tan \left(\frac{x}{\alpha} + \beta\right) + c$,then one of the values of $\frac{\pi \alpha}{4} - \beta$ is

$\int \frac{d x}{\sin ^{2} x \cos ^{2} x}$ equals

Find the following integral: $\int(2x - 3 \cos x + e^x) \, dx$