intergrals

[graceful fiber]

hello , worked out the integral of sec^4x. tan^5x by using a trick but im struggling to work out the intergral with the powers switched

[potent dagger]

what so its $\int{}\sec^4{x}\tan^5{x}dx$?

[gusty fossil]

ImOakley

[graceful fiber]

no sec^5x.tan^4x

[potent dagger]

you said tan in the post

[graceful fiber]

by bad fixed it

[potent dagger]

tan = sin/cos

you can use that i think

[fleet crystal]

integration by parts. this is a very long one

[potent dagger]

integration by parts with trig functions doesnt work im pretty sure tho

unless you get like a specific power here

[fleet crystal]

its the only one that works here

5 and 4 in those places are bad numbers

[graceful fiber]

okay then theres no need then, thought there was sum neat trick like used in my first eg sec^2=Tan^2 +1

[fleet crystal]

do that to get a sec^9 and sec^7

then each integration by part reduces the power by 2

[lone void]

here is the easier one