Evaluate the following Integrals:
Given Definite Integral can be written as:
Let us assume y = tanx
Differentiating w.r.t x on both sides we get,
⇒ d(y) = d(tanx)
⇒ dy = sec2xdx……(2)
Upper limit for the Definite Integral:
⇒ y = ∞……(3)
Lower limit for the Definite Integral:
⇒ x = 0 ⇒ y = tan(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)).