💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 36 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int^{\pi/4}_{0} \sec \theta \tan \theta \,d\theta $

Answer

$\sqrt{2}-1$

Discussion

You must be signed in to discuss.

Video Transcript

So here we can just refer to the table of indefinite integral given in the text book, Which states that the integral of 2nd x times tangent x. It is just equal to sequence X. So just write that down here this case seeking theater with upper ground fire for Lower bound of zero. So here you can write this out as 2nd of pi over four minus sequence of zero. So we can all right this as one over a clear sign of pirate for -1 over co sign of zero. So coastline of Pi over four is 2 over root two. Right, 1/2 over to Goes down zero. Just one to this term will be one. And We can evaluate one over to over root two to be route to over to which we can also just right as route to minus one and there's our answer.