T-formula integration (1 Viewer)

Hermes1

Banned
Joined
Oct 4, 2010
Messages
1,282
Gender
Male
HSC
2011
Q1 is a joke -- most of the time, but often you might get some harder integration in Q4/5...
yes the harder integration is usually reduction formula or the f(a-x) = f(x) stuff. if u get reduction formula in later questions you should be pretty happy, they are just proofs most of the time.
 

blackops23

Member
Joined
Dec 15, 2010
Messages
428
Gender
Male
HSC
2011
Need help with another question:

INTEGRATE [(cosx)/(4+5cosx)]

I tried using t-formula, and ended up with having to integrate (1-t^2)/[(9-t^2)(1+t^2)] --> and I really don't want to use partial fractions...


Anyone see a faster method to integrate this?

As always, help is immensely appreciated
 

Hermes1

Banned
Joined
Oct 4, 2010
Messages
1,282
Gender
Male
HSC
2011
Need help with another question:

INTEGRATE [(cosx)/(4+5cosx)]

I tried using t-formula, and ended up with having to integrate (1-t^2)/[(9-t^2)(1+t^2)] --> and I really don't want to use partial fractions...


Anyone see a faster method to integrate this?

As always, help is immensely appreciated
i tried other methods but they all seem to come to partial fractions. u hav to use partial fractions. if u think this is bad wait until you do resisted motion...
 

limit1

Banned
Joined
Jul 7, 2011
Messages
10
Gender
Undisclosed
HSC
2010
there is a much faster way to do it, but not for you hsc newbs
 

Drongoski

Well-Known Member
Joined
Feb 22, 2009
Messages
4,255
Gender
Male
HSC
N/A
Pierre - I like the way you are always a few steps ahead of the BOS police mutating like an virus and leaving a trail of destruction and mayhem!
 
Last edited:

cutemouse

Account Closed
Joined
Apr 23, 2007
Messages
2,250
Gender
Undisclosed
HSC
N/A
I think Mr Goodwin is alluding to complex analysis methods... which wouldn't even work for the above questions since there are no limits in the integral.
 

hscishard

Active Member
Joined
Aug 4, 2009
Messages
2,033
Location
study room...maybe
Gender
Male
HSC
2011
ooooooooooooooooooooooooooooooooooooooooooo k
Soon there will be history in maths. History means essays. Essays means english, which then means every subject. Therefore Maths will soon then be/have everything

Random post
 

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

Top