Помогите, пожалуйста, решить интеграл, ничего не получается
int dx/(x^(1/2) * (x^(1/3) + 1))

int dx/(x^(1/2) * (x^(1/3) + 1)) = | x^(1/6) = t, x = t^6, dx = 6 * t^5 dt | =
= int 6 * t^5 dt/(t^3 * (t^2 + 1)) = 6 * int t^2/(t^2 + 1) dt =
= 6 * int (t^2 + 1 - 1)/(t^2 + 1) dt = 6 * (int dt - int dt/(t^2 + 1)) =
= 6 * t - 6 * arctg t + C = | t = x^(1/6) | = 6 * x^(1/6) - 6 * arctg x^(1/6) + C

Большое спасибо, venja