Work Step by Step
Following the hint given in the statement, we have $x-x^2 \ge 0$ This implies that $x(1-x) \ge 0$ The interval is: $[0,1]$ Thus, the limits which maximize the integral are: $a=0; b=1$
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.