Question

How do you integrate `int (x+5)^6` using substitution?

Answer 1

`int (x+5)^6dx = 1/7(x+5)^7 + C`

Explanation:

Let `u = x+5 implies du = dx`

`int u^6du = u^7/7 + C`

`therefore int (x+5)^6dx = 1/7(x+5)^7 + C`