I have seen in some textbooks that the value of integrals are treated differently.(adsbygoogle = window.adsbygoogle || []).push({});

In one textbook it said to evaluate

[tex] \int_{-2}^{2} x^3 dx [/tex]

I would say immediately that the answer is zero. because the function is odd around origo.

While the textbook claimed you had to split ut the integral, and integrate term by term.

I would have agreed with the textbook if it had said , find the area of x^3 from -1 to 1. But just giving the integral, isnt this wrong?

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# Definition of an integral

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