Q25 of 45 Page 1

Evaluate:

Let … (1)


We know that



… (2)


Adding (1) and (2), we get




We know that



Dividing numerator and denominator by cos2 x, we get



Putting b tan x = p


⇒ b sec2 x dx = dp


⇒ sec2 x dx = dp/b


When x = 0, then p = 0 and when x = π/2, then p = ∞



We know that







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