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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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3.24–3.27 Powers of x, of binomials of the form a + ßxp and of polynomials in x

3.241

1. 

01xμ1dx1+xp=1pβ(μp)[Reμ>0, p>0]

si1328_e  WH, BI (2)(13)

2. 

0xμ1dx1+x=πνcosecμπν=1νB(μν,νμν)[ReνReμ0]

si1329_e  ET I 309(15)a, BI (17)(10)

3.11 

PV0xp1dx1xq=πqcotpπq[p<q]

si1330_e  BI (17)(11)

4.12 

0xμ1dx(p+qxν)n+1=1νpn+1(pq)μ/νB(1+nμν,μν)

si1331_e  BI (17)(22)a

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