text: integral calculus problem below... true or false? b                                                  ò{[f(x) + g(x)] [f(x) - g(x)]} dx  a  =   ....... b ................b ò[f(x)]^2 dx - ò[g(x)]^2 dx ..... a ................. a true. you are basically simplifying the expression inside of the integral sign, and then separating the two terms into two separate definite integrals.