Calc Question

[ImDonly1]

#1. Say you have the integral of (tan^5 2x)(sec^2 2x) dx

According to the rules it says if the power of the secant is even and positive use... and if the tower of the tangent is odd and positive...

Can I use either rule since the tan and sec follow the guidelines of both?

and #2 How would I solve the integral of (sec^6 4x)(tan 4x) dx ? I know the answer is (sec^6 4x)/24 +C

If I take out a sec^2 I get (sec^4 4x)(tan 4x)(4sec^2 4x) dx and then ...?

Any help would be nice.

 

[ImDonly1]

Bump

 

[Tylanner]

for #2 take out a Sec4x then you have Dx[Sec4x] = Sec4xTan4x then you have a simple u Du integral