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