I am having trouble understanding or visualizing how the integrand affects the plot of an integral.(adsbygoogle = window.adsbygoogle || []).push({});

So I know that

[itex]\int_{0}^{10}\int_{0}^{10}\int_{0}^{10} 1 {dx}{dy}{dz} [/itex]

will give you the volume of a 10x10x10 cube. I am wondering what exactly you are getting when you integrate some thing like

[itex]\int_{0}^{10}\int_{0}^{10}\int_{0}^{10} x^2 {dx}{dy}{dz} [/itex]

or even if the integrand was something like y^2 + z^2

If it is easier to understand what is happening with a single or double integral then I would be happy with an explanation from that.

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# Homework Help: Question on integrands

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