Solution assignment 01 Integration by substitution

Solve:

$\displaystyle\int{(5x+2)^{10}}dx$

The primitive is:

$\displaystyle\frac{1}{11}(5x+2)^{11}.\displaystyle\frac{1}{5}$

and thus the result is:

$\displaystyle\int{(5x+2)^{10}}dx=\displaystyle\frac{1}{55}(5x+2)^{11}+C$

This is a correct result as can be verified by differentiation. The chain rule has to be applied.