Question

How do you integrate `int cos(2x+1)` using substitution?

Answer 1

`int cos(2x+1)dx = 1/2 sin(2x+1) +C`

Explanation:

Substitute:

`t=2x+1`
`dt= 2dx`

and you have:

`int cos(2x+1)dx = 1/2 int costdt = 1/2sint +C = 1/2 sin(2x+1) +C`