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

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01[xp1(pq)(pr)(ps)+xq1(qp)(qr)(qs)+xr1(rp)(rq)(rs)+xs1(sp)(sq)(sr)]dx(ln?x)2=12[p2ln?p(pq)(pr)(ps)+q2lnq(qp)(qr)(qs)+r2ln?r(rp)(rq)(rs)+s2?ln?s(sp)(sp)(sr)]

si536_e  BI (124)(16)

[p>0,?q>0,?r>0,?s>0]si537_e

4.269

1. 

01ln?xdx1+x2=π2k=0(1)k(2k+1)3

si538_e  BI (115)(33)

2.11 

01dxlnx?(1+x2)=πk=0(1)k2k+1

si539_e  BI (133)(2)

3. 

01(

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