Q. 284.7( 3 Votes )

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Answer :

Given Definite Integral can be written as:







Let us assume y = tanx


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


d(y) = d(tanx)


dy = sec2xdx……(2)


Upper limit for the Definite Integral:



y = ∞……(3)


Lower limit for the Definite Integral:


x = 0 y = tan(0)


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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