Fundamental Theorem of Calculus Part III

[Hckyplayer8]

This one I'm pretty sure I have right. As long as one can derive the antiderivative of sec²y the rest lines up pretty nicely.

My question is, what is the trick to derive sec²(y)? Just memory such as the flow of sin (x) --> cos (x) --> -sin(x) --> -cos (x) --> sin(x)?

 

[Romsek]

integrate sec^2(x)

 

[MarkFL]

I would continue and evaluate \(\tan\left(\dfrac{\pi}{3}\right)\) since that is a special angle.

 

[Hckyplayer8]

integrate sec^2(x)

Thank you!

 

[Hckyplayer8]

I would continue and evaluate \(\tan\left(\dfrac{\pi}{3}\right)\) since that is a special angle.

Simplify it to sqrt(3)? Or is there more beyond that?

 

[MarkFL]

Simplify it to sqrt(3)? Or is there more beyond that?

Yes, that's all I meant.

 

[Hckyplayer8]

Thank you both for posting.