integral of sin^3(2*theta)*[sqrt(cos2*theta)] dtheta ? (i've been attempting for the past hour any help would be appreciated :) )

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integral of sin^3(2*theta)*[sqrt(cos2*theta)] dtheta ? (i've been attempting for the past hour any help would be appreciated :) )

Mathematics
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hey
u = cos 2t du = - sin 2t
hi there thanks for the feedback! i'm in calc 2 and right now we're learning trig integrals. with like substituting trig identities and that power reducing rule. the answer in the back of my book (which is hard to go buy because they like sometimes super reduce things) had something like cos(2theta)^(3/2) in there so it was driving me nuts. because even doing a u-sub i'm left with the integral of sqrt(u)*-u^3 that's where i kept stopping because i felt i wasn't getting anywhere haha

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