Mathematical Integration.. Can anyone identify the fault here.. :)

∫[-2,2] (x^3 cos((x/2)+(1/2))) * √(4-x^2) dx   Lemme apply integration by parts. Let’s choose: u = x^3 dv = cos((x/2)+(1/2)) * √(4-x^2) dx du/dx = 3x^2 v = ∫cos((x/2)+(1/2)) * √(4-x^2) dx Lets solve v using the substitution u = (x/2)+(1/2): v = ∫cos(u) * √(4-(2u-1)^2) * 2 du Let z = 2u-1, so that […]

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