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

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0[si(ax)+π2]cosbxxdxx2+c2=π4c{ebc[Ei(bc)Ei(ac)]+ebc[Ei(bc)Ei(ac)]}??[0<ba,??c>0]=π4cebc[Ei(ac)Ei(ac)][0<ab,??c>0]

si181_e  BI (460)(2,5)

6.259

1. 

0si(ax)??sinbxdxx2+c2=π2cEi(ac)sinh(bc)=π4c?ebc[Ei(bc)+Ei(bc)??Ei(ac)Ei(ac)?][0<ba,??c>0]+π2cEi(bc)sinh(bc)[0<ab,??c>0]

si182_e  ET I 96(8)

2. 

0ci(ax)??sinbxxdxx2+c2=π2sinh(bc)Ei(ac)[0<ba,??c>0]=π2sinh(bc)Ei(bc)+π4ebc[Ei(bc)+Ei(bc)Ei(ac)Ei(ac)][0<ab,??c>0]

si183_e  BI (460)(3)a, ...

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