# How do you find the area of the common interior of #r=4sintheta, r=2#?

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To find the area of the common interior of (r = 4 \sin(\theta)) and (r = 2), you need to determine the points where the two curves intersect. Set (r = 4 \sin(\theta)) equal to (r = 2) and solve for (\theta). Then integrate the difference of the two equations squared from the lower bound to the upper bound of the (\theta) values where they intersect. This gives the area of the common interior region.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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