 #1
chwala
Gold Member
 748
 59
Homework Statement:

The integral ##I_{n}##, where ##n## is positive is given by ##I_{n}=\int_{0.5}^1x^{n} sinπx\, dx##
show that,
##n(n+1)I_{n+2}=2^{n+1} + ππ^2 I_{n}##
Relevant Equations:
 integration by parts...
i would appreciate alternative method...