Evaluate the following integrals: ∫ (x-3)√(x^2+3x-18)dx

Question

Evaluate the following integrals:  \(\int(x-3)\sqrt{x^2+3x-18}dx\)

∫ (x-3)√(x²+3x-18)dx

Answer 1

To Find : \(\int(x-3)\sqrt{x^2+3x-18}dx\)

Now, let x - 3 be written as \(\cfrac{1}{2}\)(2x + 3) - \(\cfrac{9}{2}\)and split 

Therefore ,