Homework Statement
Evaluate ∫(1/x)sin^2(x)dx from -a to a
The Attempt at a Solution
Mathematica doesn't want to evaluate this because of the lack of convergence.
I think it is zero. When we consider non-zero values of x in the associated riemann sum, the integrand is odd and so...
A more simple example might serve to make this clear:
consider a train that is accelerating with acceleration a. You are on this train and you drop a ball. The only force due to a physical interaction acting on the ball is that of gravity which is due to the ball's interaction with the Earth...