# How do you evaluate #\int x ( x ^ { 2} + 1) ^ { 8} d x#?

##### 1 Answer

Nov 7, 2017

#### Explanation:

remember integration is the reverse operation of differentiation.

1) Inspection

we note that the function outside the bracket is the bracket differentiated, mutliplied by a constant.

so we suspect that the integral is the bracket tot eh power

lets try it

which is the integrand except for the

#2) substitution