$\int \frac{dx}{9x^2 - 16}$ is equal to

$\int \frac{dx}{(1+5\sin^2 x)}$ is equal to

$\int e^{x\log_e a}.e^x dx$ is:

[where C is an arbitrary constant]

If $2f(x) + f\left(\frac{1}{x}\right) = x^2 + 1$, then $\int f(x) dx$ is: (Here C is an arbitrary constant)

The integral $\int_{0}^{1} x(1-x)^n dx$ is equal to :

$\int x\sqrt{x + 2} \, dx$ is equal to :

$\displaystyle\int \dfrac{1+\cos\theta}{1-\cos\theta}\,d\theta =$