Evaluating the improper integral using basic techniques

[@slavinojunepri7648]

Excellent

[@raghvendrasingh1289]

Let
I(t) = integral of ln(1+a^2t^2/x^2) in given interval
I(0) = 0 , I(1) = I
I ' (t) = integral of a^2 (2t)/(x^2+a^2t^2)
I '(t) = aπ
integrating sides with respect to t in [0,1]
I = aπ

[@cipherunity]

done