Q. 193.5( 4 Votes )

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Answer :

Given Definite Integral can be written as:



We know that:




Substituting these value in (1) we get,




We know that: 1+tan2x = sec2x






Let us assume,



Differentiating w.r.t x on both sides we get,





Upper limit for the Definite Integral:




Lower limit for the Definite Integral:




Substituting (2),(3),(4) in eq(1), we get,




We know that:



We know that:



[here f’(x) is derivative of f(x)).






We know that: Log = log(a) – log(b)









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