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A single definite integral can be used to find the area under a curve. with double integrals, we can start thinking about the volume under a surface!
Introduction to the double integral
Figuring out the volume under z=xy^2
Let's integrate dy first!
Another way to conceptualize the double integral.
Finding the volume when we have variable boundaries.
Let's evaluate the double integrals with y=x^2 as one of the boundaries.