\[\int \sin^{2}(2x)\cos^{3}(2x) \, dx\]1 Remove parentheses. 2 Use Pythagorean Identities: . 3 Use Integration by Substitution. Let , , then 4 Using and above, rewrite . 5 Use Constant Factor Rule: . 6 Expand. 7 Use Power Rule: . 8 Substitute back into the original integral. 9 Add constant. Done ![]() |