Answer :

Let

Let x=a tan2y


dx=2a tan y sec2y dy.


Also, when x=0, y=0


and when x=a,


Hence


Using integration by parts, we get



Let tan y=t


sec2ydy=dt.


Also, when y=0, t=0


and when , t=1.


Also, y=tan-1t






Let





Hence


Substituting value of I’ in I, we get




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