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Question

Integrate : 1cos(xa)cos(xb)

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Solution

1cos(xa)cos(xb)dx

sin(ab)dxsin(ab)cos(xa)cos(xb)

1sin(ab).sin(xb)+(ax)cos(xa)cos(xb)dx

1sin(ab)sin(ab)cos(ax)+cos(xb)sin(ax)cos(xa)cos(xb)dx

1sin(ab)tan(xb)+tan(xa)dx

1sin(ab)(logsec(xb)logsec(xa))+C

1sin(ab)logcos(xa)cos(xb)+C


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