Question

integral of sec^6(x)

Answer 1

strip out sec^2x is my first thought

Answer 2

\[\sec^6 x=\sec^4 x\ \sec^2 x\]

Answer 3

that is what i did... but stuck...

Answer 4

convert sec^4 to (1-tan^2)^2

Answer 5

oh yeah +
dang, bad day

Answer 6

\[\sec^6x=\sec^4x\sec^2x=(\tan^2x+1)^2\sec^2x\]expand and u-sub

Answer 7

how..? i really have no clue how to use u-sub to this one.

Answer 8

ok let\[u=\tan x\]

Answer 9

(...after expanding)

Answer 10

ooooooooh!!! yay! thanks so much !