Try the substitution instead, and don't forget the rewrite the limits of integration in terms of the new variable...
my math lector gave me the following "homework"
calculate the definite integral:
I tried using substitution where U=√(x^2+2x) and dx=(3*du)/2*(x^2+x^3/3)^3/2 but I don't really know where to go with this problem
∫[0,2] √(x^2+2x)*(2x+2) dx
the intgegral is between 0 to 2..... ∫[0,2]
Thank you in advance.....
Anyway, making the substitution , and noting that and gives
which is an easy integral to solve.