trinixx18 trinixx18

12-04-2018
Mathematics

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

Respuesta :

wizard123 wizard123

12-04-2018

Solve with substitution:

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

[tex]-\frac{1}{8} \int u^{1/2} du \\ \\ = -\frac{1}{8} (\frac{2}{3} u^{3/2}) + C \\ \\ = -\frac{1}{12} cos^3 (4x) + C[/tex]

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