Working on a Fourier cosine transform and need a solution to the following integral to continue. Very grateful for any responses/ advice. My integration is a little rusty.
Working on a Fourier cosine transform and need a solution to the following integral to continue. Very grateful for any responses/ advice. My integration is a little rusty.
Integral ((Sin 2pix Cos piX) / X)
thanks in advance,
-Dave
What are the bounds of the integral? If it is this
The answer is
To see this rewrite your integral as
And you may switch the integration order because it is over a rectangular region by Fubini's Theorem.