Evaluate the following Integrals:

Let


Dividing numerator and denominator with cos2x, we have



Put tan x = t


sec2x dx = dt (Differentiating both sides)



When x = 0, t = tan 0 = 0


When x = , t = tan = ∞


So, the new limits are 0 and ∞.


Substituting this in the original integral,




Multiplying numerator and denominator with 3, we have



Now, we can write





Substituting this in the original integral,






Recall







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