Given Definite Integral can be written as:

......(1)

Let us assume y = e^x

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

⇒ d(y) = d(e^x)

⇒ dy = e^xdx ......(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))