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