Q. 225.0( 1 Vote )

# <span lang="EN-US

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 sides we get,

Upper limit for the Definite Integral:

y = 1+∞

y = ∞……(3)

Lower limit for the Definite Integral:

x = 0 y = 1+tan(0)

y = 1+0

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)).

I(x) = tan-1(∞) – tan-1(0)

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