Solve the following integration.
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where V is limited by the surface x2 + y2 = 2z.
The integration region is restricted within the paraboloid by the plane z = 2.
As the projection of the region on the z = 0 the plane is the circle C: x^2 + y^2 ≤ 4, the triple integral can be decomposed so as:
Writing the integral in cylindrical coordinates, we obtain:
This is the process to solve a triple integration using the cylindrical coordinates.
I hope it has been helpful.
See you bloggers in the next post!
As the projection of the region on the z = 0 the plane is the circle C: x^2 + y^2 ≤ 4, the triple integral can be decomposed so as:
Writing the integral in cylindrical coordinates, we obtain:
This is the process to solve a triple integration using the cylindrical coordinates.
I hope it has been helpful.
See you bloggers in the next post!

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