Evaluate the following Integrals:
Given Definite Integral can be written as:
We know that: 1+ cos2x = 2cos2x and
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 = 1……(3)
The lower limit for the Definite Integral:
⇒ y = 0……(4)
Substituting (2),(3),(4) in eq(1) we get,
We know that:
We know that:
[here f’(x) is derivative of f(x)).