Question

integrate sec^3 dx

Answer 1

split it as sec x *sec^2 x

Answer 2

then

Answer 3

wait, i'll give you general steps
http://openstudy.com/users/hartnn#/updates/50960518e4b0d0275a3ccfba
see the tips part, there i have given steps to integrate any power of sec x

Answer 4

ok,
write sec x as sqrt(1+tan^2 x)
put t= tan x
dt = sec^2 x dx
so your integral becomes
sqrt(1+t^2) dt
then u have standard formula for this.

Answer 5

ooo...thanx a lot

Answer 6

in the end don't forget to replace , t by tan x
welcome ^_^

Answer 7

i was considering leaving it in trigs

Answer 8

sec^2 = tan^2 + 1

sec * sec^2 = sec tan^2 + sec

but yeah, that doesnt quite make a nice transition does it :)

Answer 9

i cant make it. does the sqrt root 1 + t^2 is the final answer or need to be integrate first

Answer 10

the sqrt is a means to rewrite the integral into a more doable format. It still needs to be integrated tho

Answer 11

ok...got it