Q. 265.0( 1 Vote )

Evaluate the following Integrals:


Answer :

Given Definite Integral can be written as:



We know that: 1+ cos2x = 2cos2x and





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 = 1……(3)


The lower limit for the Definite Integral:



y = 0……(4)


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



We know that:



We know that:



[here f’(x) is derivative of f(x)).







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