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

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Homework Help Overview

The discussion revolves around the integral of the function √(1+u²) with respect to u, a topic within calculus, specifically focusing on integration techniques.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of substitution, specifically suggesting u=tan(θ) as a potential method. There is an acknowledgment of the resulting integral involving secant functions, and some participants express difficulty in progressing with the integration.

Discussion Status

The conversation is ongoing, with participants exploring different substitution methods and integration techniques. Some guidance has been offered regarding the substitution approach, but there is no explicit consensus on the next steps or resolution.

Contextual Notes

There is an indication of varying levels of understanding among participants, with some expressing challenges in applying the suggested methods. The discussion is framed within a homework help context, which may impose certain constraints on the types of assistance provided.

Little ant
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\int\sqrt{1+u^{2}} du
 
Last edited:
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Little ant said:
\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.
 
i tried it. but i didn't can
 
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).
 
Moderator's note: thread moved from Calculus & Analysis
 

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