Integration to calculate centre of mass

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The forum discussion centers on finding the indefinite integral of the function (1+x³)^(1/2). Users attempted various methods, including substitution and rewriting, but encountered difficulties in obtaining the correct answer. Online integral calculators, such as the one at integral-calculator.com, failed to provide usable results. A suggestion was made to use Wolfram Alpha, which can handle the integral but produces complex results involving elliptic integrals.

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MathewsMD
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If you have the function, (1+x3)1/2, find the indefinite integral.

I have been trying different methods like substitution and rewriting it, but keep getting the wrong answer.

I keep trying to find it using online integral calculators (http://www.integral-calculator.com/#expr=(1+x^3)^(1/2)) but it's not giving me anything to work with.

Any help would be great! :)
 
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MathewsMD said:
If you have the function, (1+x3)1/2, find the indefinite integral.

I have been trying different methods like substitution and rewriting it, but keep getting the wrong answer.

I keep trying to find it using online integral calculators (http://www.integral-calculator.com/#expr=(1+x^3)^(1/2)) but it's not giving me anything to work with.

Any help would be great! :)

Wolfram Alpha can integrate it. It's an unholy mess and has elliptic integrals in it. What problem are you actually trying to solve?
 

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