Q. 165.0( 4 Votes )

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Answer :

Given Definite Integral can be written as:



Let us assume x+2 = y


Then, x = y-2 ……(2)


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


d(x+2) = d(y)


dx = dy ……(3)


Upper limit for the Definite Integral:


x = 2 y = 2+2


y = 4…… (4)


Lower limit for the Definite Integral:


x = 0 y = 0+2


y = 2…… (5)


Substituting (2),(3),(4),(5) in the eq(1) we get,




We know that:



We know that:



[here f’(x) is derivative of f(x))












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