yup! u hve to do that..
should i show u the steps????
0∫∞ dx / (x2+a2)(x2+b2)
do we need to apply partial fraction here ??
actually this is that type of ques where u hve to follow indefinite integral steps and then execute the limits...
u would get
1=A(x2+b2)+B(x2+a2)
solve to get
A=1/(b2-a2) and B = -1/(b2-a2)
put dese and u will get the answer as
\pi /4ab(a+b)
do tell if u want a detailed answer..