$\int_0^{2\pi} \cos^5 x \, dx$ is equal to

The value of $\int_{-a}^a f(x)dx$ where $f(x) = \frac{7^x}{1+7^x}$ is:

$\displaystyle\int_{-\pi/3}^{\pi/3} 2x^5\cos^4 x\, dx$ equals

$\int\frac{x-1}{x(x-\log x)}dx$ equals:

(consider: $\log x=\log_e x$)

$\int_1^2 \frac{x \, dx}{(x+1)(x+2)} =$

The Value of $\int_1^3 |2x - 1|dx$ equal to

The value of $\int \left\{ \frac{1}{\log_e x} - \frac{1}{(\log_e x)^2} \right\} dx$ is