Evaluate the following Integrals:

Given Definite can be written as:



We know that:






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 the eq(1) we get,




We know that:



We know that:



[here f’(x) is derivative of f(x)).




We know that:








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