Evaluate the following Integrals:
Given Definite Integral can be written as:
......(1)
Let us assume y = ex
Differentiating w.r.t x on both sides we get,
⇒ d(y) = d(ex)
⇒ dy = exdx ......(2)
Upper limit for the Definite Integral:
⇒ x = 1 ⇒ y = e1
⇒ y = e(3)
Lower limit for the Definite Integral:
⇒ x = 0 ⇒ y = e0
⇒ y = 1(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))