Integrating a polynomial with a square root

Thread starter ande
Start date Oct 7, 2015
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Integrating Polynomial Root Square Square root

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To integrate the function (4x - x^2)^(1/2) dx, it is recommended to complete the square under the square root and apply a trigonometric substitution. Many participants in the discussion emphasize the importance of understanding trig substitution for this type of integral. Acknowledgment of the effectiveness of this method is noted, with users expressing gratitude for the guidance provided. The integration process becomes clearer once the square is completed and the appropriate substitution is made. Mastering these techniques is essential for successfully tackling similar integrals.

Oct 7, 2015

ande

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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Oct 7, 2015

Simon Bridge

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Complete the square under the root, and use a trig substitution.

Oct 7, 2015

ande

Read up on trig substitution. I hadn't covered it yet. Thank you. Works like a charm.

Oct 10, 2015

Simon Bridge

Science Advisor

Homework Helper

Well done.

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