Evaluate the following Integrals:
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))