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CALCULAS! 30 points! Evaluate ∫ sin 4x cos2 4x dx.
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5 votes
CALCULAS! 30 points!
Evaluate ∫ sin 4x cos2 4x dx.

User BuschnicK
by
6.2k points

1 Answer

6 votes
Solve with substitution:

Let u = cos^2(4x)
du = -8sin(4x) cos(4x) dx


-(1)/(8) \int u^(1/2) du \\ \\ = -(1)/(8) ((2)/(3) u^(3/2)) + C \\ \\ = -(1)/(12) cos^3 (4x) + C
User Stackdump
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