Solve Definite Integral: l & n Constants

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SUMMARY

The discussion focuses on solving the definite integral I = ∫-h/2h/2 (4x²/3 + 2l²/3)(1+n)/(2n) where l and n are constants. Participants suggest simplifying the integral by substituting constants with variables, allowing for easier integration using the formula for (ax+b)c through expansion. This method facilitates finding the antiderivative and understanding the integration process.

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I'd like to analyze the integral in the attachment but I'm clueless on how to do it. I'd like to get the result and understand the method behind it. l and n are constants. Can anyone help?
 

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Well, finding the antiderivative might be easier if you note that since l and n are constants, so are 2/3*l^2 and the exponent, and just replace them with letters like a and b. I am sure you can integrate (ax+b)^c by expansion !

EDIT: O here's the integral for those who don't want to open the file;

[tex]I = \int^{h/2}_{-h/2} \left( \frac{4x^2}{3} + \frac{2l^2}{3} \right)^{\frac{1+n}{2n}}[/tex]
 

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