Question
Asked Feb 10, 2020
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Evaluate the given iterated integral by converting to
polar coordinates.
22
Vx² + y² dy dx
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Evaluate the given iterated integral by converting to polar coordinates. 22 Vx² + y² dy dx

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Expert Answer

Step 1

First of all, consider the upper limit for the integration w.r.t dx.

Rearrange the expression to get the equation of the circle.

The upper limit is the disk with center (1, 0) and the radius of the circle is 1.

Calculus homework question answer, step 1, image 1

Step 2

As the upper limit is the disk therefore, change the upper limit from the cartesian form to the polar coordinates.

Calculus homework question answer, step 2, image 1

Step 3

Now, substitute the values of the limits and the expression to be integrated in the polar form.

Integrate w.r.t dr then apply the limits to get the expression to be integrated w.r.t dθ.

Calculus homework question answer, step 3, image 1

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Math

Calculus