# Reduction formulae......again.

• Sep 3rd 2008, 10:59 AM
Showcase_22
Reduction formulae......again.
Just when I think I have mastered reduction formulae, the "miscellaneous exercise" happens!

The question is:

http://i116.photobucket.com/albums/o...sproblem15.jpg

My working goes like this:

http://i116.photobucket.com/albums/o..._01/img019.jpg

I'm clearly on the right track, I just can't see what's going wrong.

Thanks to anyone who posts!
• Sep 3rd 2008, 11:21 AM
Moo
Hello,

Yup, you're on the right track (Nod)

$I_n=\frac{e^\pi}4- \left[\frac n4 e^{2x} \sin^{n-1}(x) \cos(x)\right]_0^{\tfrac \pi 2} {\color{red}+} \frac{(n-1)n}{4} \dots$

Because it's -*-

I haven't looked further, correct it and then see if it corresponds :)
• Sep 4th 2008, 02:26 AM
Showcase_22
thanks!

I can't believe I didn't spot that mistake!

I made another mistake as well later on but it's all sorted now:

http://i116.photobucket.com/albums/o..._01/img020.jpg

That question really was a train wreck in mathematical form. (Crying)