Integrating a polynomial with a square root

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Homework Help Overview

The original poster attempts to integrate the expression (4x - x^2)^(1/2) with respect to x, expressing uncertainty about how to begin the problem.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • One participant suggests completing the square under the root and using a trigonometric substitution, while another acknowledges their unfamiliarity with trigonometric substitution.

Discussion Status

Some guidance has been offered regarding the approach to take, and there appears to be a positive acknowledgment of the suggested method. However, the original poster's understanding of the necessary concepts remains unclear.

Contextual Notes

The original poster indicates a lack of familiarity with trigonometric substitution, which may affect their ability to proceed with the problem.

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Poster has been reminded to show their work when asking schoolwork questions
1. Integrate the following: (4x - x^2)^1/2 dx 2. Any assistance would be appreciated.3. Honestly don't know where to start.
 
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Complete the square under the root, and use a trig substitution.
 
Read up on trig substitution. I hadn't covered it yet. Thank you. Works like a charm.
 
Well done.
 

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