Q. 275.0( 1 Vote )

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Answer :

Given Definite Integral can be written as:



We know that:







We know that: 1+tan2x = sec2x



Let us assume,


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




The upper limit for the Definite Integral:



y = ∞……(3)


Lower limit for the Definite Integral:



y = 0……(4)


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



We know that:



We know that:



[here f’(x) is derivative of f(x)).







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