6.5-SubstitutionRecall: Chain Rule for Derivatives:ddx(f(g(x))) =ThereforeProblem: Recognizing when you have an integral of this form and what f and g are.Solution: Substitute for g(x), your ”inner function”Examples:ComputeZ20dx(3x − 2)2dxComputeZexe2x+1dxComputeZcos3(2y)sin(2y)dyComputeZx3√x2+1dxUseful for 152:Iffis even, thenIf f is odd, thenOn Your Own: #5, 7, 11, 19, 27, 35, 39, 43, 47, 55, 61,
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