J jimmik Member Joined Oct 11, 2003 Messages 274 Location sydney Gender Female HSC 2004 Apr 23, 2004 #1 If In = int tan^(n)x.dx for n>=0 show that In = 1/(n-1) x tan^(n-1)x - In-2 for n>=2
:: ck :: Actuarial Boy Joined Jan 1, 2003 Messages 2,414 Gender Male HSC 2004 Apr 23, 2004 #2 simple heres a hint - dont use parts [i found it to be a bit longer] and make In = tan^(n-2)x . tan^2x u can work it out from there
simple heres a hint - dont use parts [i found it to be a bit longer] and make In = tan^(n-2)x . tan^2x u can work it out from there
J jimmik Member Joined Oct 11, 2003 Messages 274 Location sydney Gender Female HSC 2004 Apr 23, 2004 #3 oh ok thnx.
:: ck :: Actuarial Boy Joined Jan 1, 2003 Messages 2,414 Gender Male HSC 2004 Apr 23, 2004 #4 oops i meant I<sub>n</sub> = integral [tan^(n-2)x . tan^(2)x dx] if u want i can write it up and scan the solution, but i think that clue is a dead giveaway
oops i meant I<sub>n</sub> = integral [tan^(n-2)x . tan^(2)x dx] if u want i can write it up and scan the solution, but i think that clue is a dead giveaway
nike33 Member Joined Feb 18, 2004 Messages 219 Apr 23, 2004 #5 haha thats not a hint its basically solving it
KeypadSDM B4nn3d Joined Apr 9, 2003 Messages 2,631 Location Sydney, Inner West Gender Male HSC 2003 Apr 23, 2004 #6 Not really, lots of people don't like sec. It's one of those things.
Grey Council Legend Joined Oct 14, 2003 Messages 1,426 Gender Male HSC 2004 Apr 23, 2004 #7 How did you approach integration Keypad? Did you use one particular book? Or just heaps of trial papers.
How did you approach integration Keypad? Did you use one particular book? Or just heaps of trial papers.
nike33 Member Joined Feb 18, 2004 Messages 219 Apr 23, 2004 #8 imo get a solid foundation of intergration and then dont practice direct intergration do volumes / mechanics or whatever with intergrations in it...kill 2 birds with one stone hehe
imo get a solid foundation of intergration and then dont practice direct intergration do volumes / mechanics or whatever with intergrations in it...kill 2 birds with one stone hehe