what is the integral of 2u2u211 when u sqrtx3 Solutionwhat

Solution

what is the integral of 2u^2/(u^2+11) when u = sqrt(x-3)?

2(x-3) / (x-3+11)

2(x-3) / (x+8)

= 2(x+8-3-8) / (x+8)

2(x+8-11) / (x+8)

= 2 -22 /(x+8)

take integration

2x - 22 ln(x+8) + C