Evaluate the integral: ∫sec x/sec 2x dx

Question

Evaluate the integral: ∫\({\frac{sec x}{sec 2x}}\)dx

Answer 1

First of all convert sec x in terms of cos x

As we know 

sec x = 1/cos x, sec 2x = 1/cos 2x

So, the above equation becomes,

So, we can write the equation as