Find the Solution for ∫√(1+u²) du | Boost Your Math Skills Now!

[Little ant]

$$\int\sqrt{1+u^{2}} du$$

 

[Char. Limit]

$$\int\sqrt{1+u^{2}}du$$

can someone solve it?

Yes, but I'd rather I helped YOU solve it.

Try a substitution $u=tan(\theta), du=sec^2(\theta) d\theta$. It might not make this any easier, but it's the best method I can think of right now.

 

[Little ant]

i tried it. but i didn't can

 

[Char. Limit]

Well, you should get as your equation...

$$\int sec^3(\theta) d\theta$$

And from there it's a simple integration by parts, taking u=sec(\theta) and dv=sec^2(\theta).

 

[Redbelly98]

Moderator's note: thread moved from Calculus & Analysis