Question

Integrate the following with respect to x.

(3 + x)(2 – 5x)

Answer 1

(3 + x)(2 – 5x) = 6 – 15x + 2x – 5x²

= 6 – 13x – 5x²

So `int (3 + x)(2 - 5x) "d"x = int(6 - 13x - 5x^2)  "d"x`

 `int6  "d"x - int 13x  "d"x - int 5x^2  "d"x + "c"`

 `6x - (13x^2)/2 - (5x^3)/3 + "c"`