Just when I think I have mastered reduction formulae, the "miscellaneous exercise" happens!
The question is:
My working goes like this:
I'm clearly on the right track, I just can't see what's going wrong.
Thanks to anyone who posts!
Just when I think I have mastered reduction formulae, the "miscellaneous exercise" happens!
The question is:
My working goes like this:
I'm clearly on the right track, I just can't see what's going wrong.
Thanks to anyone who posts!
Hello,
Yup, you're on the right track
But after the second substitution, you put a minus sign instead of + sign :
$\displaystyle I_n=\frac{e^\pi}4- \left[\frac n4 e^{2x} \sin^{n-1}(x) \cos(x)\right]_0^{\tfrac \pi 2} {\color{red}+} \frac{(n-1)n}{4} \dots$
Because it's -*-
I haven't looked further, correct it and then see if it corresponds