Please help with this question. Thanks in advance. :)

Q:

Prove that .

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- Apr 24th 2008, 02:14 PMSimplicityReduction Formula
Please help with this question. Thanks in advance. :)

Q:

Prove that . - Apr 24th 2008, 02:19 PMMathstud28
- Apr 24th 2008, 02:23 PMSimplicity
- Apr 24th 2008, 02:25 PMMathstud28
- Apr 24th 2008, 02:27 PMJhevon
- Apr 24th 2008, 02:33 PMDanshader
generally i will go for u = x^n and dv/dt = cos x. My reasoning is that if x^n is taken as dv/dt then the power of x will increase which brings you nowhere closer in solving the integral. However if you set u = x^n for each part the power of x decreases till x^0 (this gives an integration of a trigonometry which is simple to solve).

- Apr 26th 2008, 10:06 AMSimplicity
Thanks all.

I've done it and obtained the correct answer however my method was pretty long and slightly doubtful. Could someone also do this question so I can see if they do this 'Reduction Formula' method. I will be grateful if someone could help. Thanks in advance. - Apr 26th 2008, 10:19 AMMoo
Hello,

I don't think you could avoid it...

I'll name y because it's really awful to write :D

Is it your reduction formula or are you looking for the induction thing ? - Apr 26th 2008, 10:33 AMSimplicity
- Apr 26th 2008, 10:35 AMMoo
I know I've missed some steps, but it should add one or two more lines for each line..

I hope this will really help (Bow)