- #1
tranj10
- 3
- 0
I am having trouble understanding or visualizing how the integrand affects the plot of an integral.
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.
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.