I'm asked to evaluate:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{-1}^{1} x(x-1)(x+1)dx[/tex]

The problem is that the question doesn't say anything about area, and we have been notified in class that unless otherwise stated, don't express the answer in sq. units.

However, I also have a problem that, if this were to find the area on a graph, I would notice the symmetry about the origin and y-axis and thus express the integral as:

[tex]-2 \int_{0}^{1} x(x-1)(x+1)dx[/tex]

Now, the first integral (if not area) is equal to 0, while the second is not. Which would be the correct answer?

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# Integral Expressions

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