## experimentX Group Title Evaluate: given that b > a $\int_0^\infty {x^{a-1} \over 1 + x^b}\; dx$ 2 years ago 2 years ago

1. mukushla

*

2. experimentX

man ... I stuck at finding the simple residue.

3. satellite73

if my memory serves me, it is the numerator divided by the derivative of the denominator evaluated at the pole

4. experimentX

yeah you are correct ... had trouble fixing. $\huge \lim_{z \rightarrow e^{i \pi \over b}} {(z - e^{i{\pi }\over b}) z^{a-1} \over 1 + z^b} = \lim_{z \rightarrow e^{i \pi \over b}} {z^{a-1} \over -bz^{b-1}}$

5. experimentX

|dw:1346858176216:dw| somehow it got this fixed. I had this Q on my exam paper ... Man i couldn't do it.