# The area of the region bounded by the curve y=x^2 and y=4x-x^2 is ?

Firstly lets find the limits of the Area

since

since

since

if we take dx slice (that mean the Area revolving about x-axis)

The interval of the integral become

now let set up the integral of Area

show the graph of the area below:

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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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