Question
This integral does not converge using the normal (Leibniz) definition of integration. Using the identity:
int(0-->inf)f(t)/(t)dt = int(0-->inf)F(p)dp, find:
integral(0-->inf)(cos(at)+cos(bt))/t dt
int(0-->inf)f(t)/(t)dt = int(0-->inf)F(p)dp, find:
integral(0-->inf)(cos(at)+cos(bt))/t dt
Answers
Steve
This very problem is discussed in Wikipedia's article on Laplace Transforms. It's clear and well done.