Evaluate the following Integrals:

Given Definite Integral can be written as:



Let us assume y = sinx,


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


d(y) = d(sinx)


dy = cosxdx……(2)


Upper limit for the Definite Integral:



y = 1……(3)


Lower limit for the Definite Integral:


x = 0 y = sin(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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