Question

What is the integral of `ln(2x + 7) dx`?

Answer 1

`int ln(2x+7)dx= int 1* ln(2x+7)dx`. Now integrate by parts,

ln(2x+7) * x - `int 2/(2x+7) *x dx`

= x ln(2x+7)- `int (2x)/(2x+7) dx`

= x ln (2x+7) - `int (1- 7/(2x+7) )dx`

= x ln(2x+7) - x +`7/2`ln(2x+7) +C