Question

Evaluate:

`int 5/sqrt(2x + 7) dx`

Answer 1

I = `int 5/sqrt(2x + 7) dx`

⇒ I = `5int (2x + 7)^(-1//2) dx`

⇒ I = `5(((2x + 7)^(-1//2x + 1))/(-1/2 + 1)) xx 1/2 + "C"`

⇒ I = `(5(2x + 7)^(1//2))/(1/2) xx 1/2 + "C"`

∵ I = `5sqrt(2x + 7) + "C"`