List of images
Image: A disk centered at the origin
A disk in the $xy$-plane centered at the origin.
Image: A disk of radius square root of one half
A disk centered at the origin with radius that is the square root of one half.
Image: Half spherical shell dome
A dome region consisting of the upper half of a spherical shell.
Image: Dot product as projection of vectors
The dot product gives the projection of one vector onto another vector
Image: Dot product as projection onto a unit vector
The dot product gives the projection of one vector onto a unit vector.
Image: Example for area of region by double integral
Example region for calculating the area of a region using a double integral.
Image: Change order of integration example region with exponential, x first
Example region illustrating process of changing the order of integration in double integrals, shown with x as the inner integral.
Image: Change order of integration example region with exponential, y first
Example region illustrating process of changing the order of integration in double integrals, shown with y as the inner integral.
Image: Change order of integration example region with sinusoid, x first
Example region illustrating process of changing the order of integration in double integrals, shown with x as the inner integral.
Image: Change order of integration example region with sinusoid, y first
Example sinusoidal region illustrating process of changing the order of integration in double integrals, shown with y as the inner integral.
Image: Change order of integration example triangular region
Example region illustrating process of changing the order of integration in double integrals.
Image: Example region for changing variables in a double integral
Example region for a general change of variables in a double integral.
Image: Example region for changing variables in a double integral
Example region for evaluating a double integral by changing variables to polar coordinates.
Image: Example region for double integral change of variables
Example region for evaluating a double integral by changing variables
Image: Example region bounded by parabolas for change of variables
Example region for evaluating a double integral by changing variables
Image: Double integral over rectangular region
A rectangular region over which to take a double integral
Image: Double integral over triangular region, integrating x first
A triangular region described in a way to facilitate integrating with respect to x first.
Image: Double integral over triangular region, integrating y first
A triangular region described in a way to facilitate integrating with respect to y first.
Image: Double integral region where best to integrate x first
A region where it's easier to integrate with respect to x first.
Image: Double integral region where best to integrate x first with boundaries labeled
A region with boundaries labeled, demonstrating it's easier to integrate with respect to x first.
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