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

1. mukushla Group Title

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2. experimentX Group Title

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

3. satellite73 Group Title

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

4. experimentX Group Title

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 Group Title

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