Evaluate the integral using the integration limits

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Homework Help Overview

The discussion revolves around evaluating the integral ∫(x^3/√(x^2+9)) from 0 to 3. Participants are exploring various methods of integration and sharing their attempts.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss using substitution and integration by parts, with one member expressing uncertainty about the effectiveness of these methods. Another suggests a different substitution approach, while some encourage revisiting integration by parts.

Discussion Status

The discussion is active, with participants sharing their attempts and suggesting methods. There is no clear consensus on the best approach, but multiple strategies are being explored, indicating a collaborative effort to understand the problem.

Contextual Notes

Some participants mention the need for further clarification on the methods attempted and express a desire to find effective techniques through additional resources.

AryRezvani
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Homework Statement



(Between 0-3) ∫x3/√(x2+9)

The Attempt at a Solution



I attempted U sub, but that didn't work. Neither did integration by parts; however, I do remember my teacher using a method involving sub'ing an "x" or something.

Anybody?

Will edit in attempts as I search YouTube for tutorials.
 
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Are you sure that integration by parts doesn't work? I'll recommend that you try again, and perhaps show your work.
 
Or substitute y=x^+9.

ehild
 
AryRezvani said:

Homework Statement



(Between 0-3) ∫x3/√(x2+9)


The Attempt at a Solution



I attempted U sub, but that didn't work. Neither did integration by parts; however, I do remember my teacher using a method involving sub'ing an "x" or something.

Anybody?

Will edit in attempts as I search YouTube for tutorials.

Both methods work well here. For IP, use the exact same initial step like in the problem I took you through. ehild's sub also works very well, and quickly gives you an answer.
 

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