Use a double integral in polar coordinates to find the area of the region inside the circle x^2 + y^2 =4 and to the right of the line x=1.
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Hello, kittycat!
Use a double integral in polar coordinates to find the area of the region
inside the circle and to the right of the line .Code:|Y | * * * | * | *P * | |:* * | |::* | |::: * | |:::* - - * - - - - + - - +:-:* - - * |O 1|:::*2 X | |::: * | |::* * | |:* * | *Q * * * | |
The polar equation of the circle is: .
The polar equation of is: .
Draw radii and .
We find that: .
. . and that:
The double integral is: .