## Simple integrals

### Task number: 3106

Calculate the following integrals and determine the intervals on which they are valid.

#### Variant 1

\(\int x^3 + 2x^2 + \frac x{17} \, dx\)

#### Variant 2

\( \int 18 e^x + 16 e^{8x} + \frac1x - 3\cos x \, dx \)

#### Variant 3

\(\int \sqrt{x^6} \, dx\)

#### Variant 4

\( \int \frac{(1-x)^3}{x\root 3 \of x} \, dx \)