Evaluate of each of the following integral:
Let us assume ……………. equation 1
By property, we know that
We know that sec (2π – x) = sec (x)
tan(2π – x)=–tan (x)
thus
.......... equation 2
Adding equations 1 and equation 2, we get,
We know
Thus
We know Trigonometric identity sec2 x – tan2 x = 1
We know
where b is the upper limit and a is lower and f(x) is integral funtion
Thus I = 0.