Evaluate the following Integrals:
Given Definite Integral can be written as:
We know that:
We know that: 1+tan2x = sec2x
Let us assume,
Differentiating w.r.t x on both the sides we get,
The upper limit for the Definite Integral:
⇒ y = ∞……(3)
Lower limit for the Definite Integral:
⇒ 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)).