Verify the integral formula with the aid of residues.
1.) Show that the p.v. of the integral of (x^2+1)/(x^4+1) from 0 to infinite =
Note: p.v.=principal value; pi is approximately 3.14; sqrt 2=square root of 2
Please show all work and explain the steps, especially how you found the zeros of the function.© BrainMass Inc. brainmass.com December 24, 2021, 5:39 pm ad1c9bdddf
Please see the attachment.
Since is an even function, then .
Now we compute ...
This shows how to verify an integral formula using residues.