Evaluate:∫ x^2/(x^2+6x-3)dx

Question

Evaluate: \(\int\cfrac{x^2}{(x^2+6x-3)}dx\)

∫ x²/(x²+6x-3)dx

Answer 1

To find:\(\int\cfrac{x^2}{(x^2+6x-3)}dx\)

Formula Used:

Given equation can be rewritten as following:

Using partial fractions,

6x – 3 = A (2x + 6) + B 

Equating the coefficients of x, 

6 = 2A 

A = 3 

Also, -3 = 6A + B 

⇒ B = -21 

Substituting in (1),