• We are looking for new moderators to join the Bored of Studies team!
    Click here for details
  • Looking for HSC notes and resources?
    Check out our Notes & Resources page

Integral of sec^3(x) without reduction (1 Viewer)

jjjcjjj892

New Member
Joined
Apr 22, 2017
Messages
16
Gender
Male
HSC
2018
Can anyone help me integrate sec^3(x) without using the reduction formula?
 

jjjcjjj892

New Member
Joined
Apr 22, 2017
Messages
16
Gender
Male
HSC
2018
Yea no problem, only issue I have is with just going straight to a reduction formula, I want to see how the answer progresses to the solution rather than going from a -> b.
 

Paradoxica

-insert title here-
Joined
Jun 19, 2014
Messages
2,503
Location
Outside reality
Gender
Male
HSC
2016
Alternatively you can differentiate sec³x and then rearrange both sides and re-integrate. However this is essentially the same as Integration By parts.
 

jjjcjjj892

New Member
Joined
Apr 22, 2017
Messages
16
Gender
Male
HSC
2018
I think you can do it this way with IBP:

Thanks for the reply, the way I progressed was going:



And its at this point I get lost, I can get the sec integral fine, its given, but the integral is confusing
 
Last edited:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top