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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