Question

Integrate the following with respect to x.

`(2x + 5)/(x^2 + 5x - 7)`

Answer 1

`int (2x + 5)/(x^2 + 5x - 7)  "d"x`

`int 1/x  "d"x`

= log |z| + c

= log |x² + 5x – 7| + c

Take z = x² + 5x – 7

`("d"z)/("d"x)` = 2x + 5

dz = (2x + 5) dx