1. the integral of 0 to 1 of the square root of (x-x^2) dx

-Using entry 113 from the table of integrals which is: theintegral of the square root of (2au - u^2) du = ( (u-a) / (2) ) (the square root of 2au - u^2) + (a^2 /2) ( cos^-1 ( (a - u) / (a) )+ C