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## Homework Statement

S tan^5x*sec^4x dx

## Homework Equations

## The Attempt at a Solution

S tanx*(1-sec^2)^2 * sec^4x dx

u = secx

du = secxtanx dx

S (1-u^2)*u^3

S (1 -2u^2 + u^4)*u^3

S ( u^3 - 2u^5 + u^7)

1/4*u^4 - 1/3*u^6 + 1/8*u^8 + c

then of course substituting secx back in for u

S