Integral equation with fixed limits 0 to π instead of 0 to x

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It's not Ax+B, it's f(x)=Aln(x)+B. You want to integrate ln(x/t)*f(t)=ln(x/t)*(Aln(t)+B)dt from t from 0 to 1. That breaks up into integrating ln(t)^2 and ln(t). Do them by integrating by parts. If you are having trouble with the individual integrations, it might be best to post a separate thread with your specific integration questions. This doesn't have much to do with integral equations.
 
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Have you tried the laplace transform ... it applies very nicely here .:)

This equation is the Volterra integral equations .
 
How does the Laplace trandform apply here?

Which integral equaiton is Volterra?
The ones are posted are Fredholm.