Evaulate:

integral 3x (sinx/cos^4x) dx

I think it's sec3 x , but that from using a piece of software, so you'll have to verify that.
Using uppercase 's' for the integral sign we have
S 3sin(x)/cos4dx or
S cos-4(x)*3sin(x)dx
If you let u = cos(x) then du = -sin(x)dx
So the integral becomes
-3 S u-4du = -3 * (1/-3)u-3 = 1/cos3 x
sec3 x

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