The value of $\int_{-5}^{5} |x + 3| dx$ is

The value of $\int_1^3 \frac{x^2}{x^3+1}dx$

$\int (x^4 + x^2 + 1)d(x^2)$ is equal to: (where c is an integration constant)

The value of $\int_{0}^{3} \frac{\sqrt{x}}{\sqrt{3-x}+\sqrt{x}}\,dx$ is

$\int_0^a \frac{\sqrt{x}}{\sqrt{x} + \sqrt{a-x}} dx$ is equal to

For $x \in \mathbb{R} - \{-1,0,1\}$, $\int \frac{1}{x - x^5}dx$ is equal to

$\int e^{(x \log 5)}e^x dx$, is:

Where $C$ is the constant of integration.