Q. 193.5( 4 Votes )

# Evaluate the following Integrals:

Answer :

Given Definite Integral can be written as:

We know that:

Substituting these value in (1) we get,

We know that: 1+tan^{2}x = sec^{2}x

Let us assume,

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

Upper limit for the Definite Integral:

Lower limit for the Definite Integral:

Substituting (2),(3),(4) in eq(1), we get,

We know that:

We know that:

[here f’(x) is derivative of f(x)).

We know that: Log = log(a) – log(b)

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