What is the indefinite integral of f(x) = x^5?

Evaluate the indefinite integral: $\int (2x-5)(x+6)dx$

Evaluate the indefinite integral: $\int \frac{5+4\cos x}{{\sin }^{2}x}dx$

Find the following integral:

$\int \frac{dx}{(2+6x{)}^4}$

Find the indefinite integral.

$\int \frac{e^x}{e^{2x}-4e^x+13}dx$