Fundamental Theorem of Calculus

[MERRVYN]

Integrate (1+t^2)^(1/2) from 0 to x.

 

[Steven G]

What have you tried? It is hard to help you if we do not see your attempt. So please post back. Thanks!

 

[Dr.Peterson]

How to integrate (1+t^2)^(1/2) from 0 to x? Thank you.

Have you learned "trig substitution"? Or have you tried integration by parts? (This may seem odd, but I think it will work better than you'd expect.)

I think this is one of the harder cases, but it can be done in several different ways. We'll need to see your attempts in order to guide you.

 

[Dr.Peterson]

Integrate (1+t^2)^(1/2) from 0 to x.

The exercise doesn't require integrating! In fact, that would probably make it much harder to do.

Just answer the questions, one by one, and think in terms of the FTC, just as it says.

Then show us what you have tried, so we can discuss it. There is a lot here to think about; it is clearly meant as a learning experience, so you need the experience of thinking through it.