Evaluate of each of the following integral:

Let us assume
.....equation 1
By property, we know that ![]()
Thus



We know tan(– x) = – tan x
......equation 2
Adding equations 1 and equation 2, we get,

We know




Trigonometric identity sec2 ɵ

We know![]()
Thus
We know

Thus
![]()
We know
b and a being the upper and lower limits respectively.
![]()
Since ![]()
Thus
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