# How do you find the area between #f(y)=y(2-y), g(y)=-y#?

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The area between two curves due to y-axis is given by :

lets find the cross between the curves:

show the wanted area below (shaded):

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To find the area between the curves (f(y) = y(2-y)) and (g(y) = -y), you first need to determine the points of intersection. Set the equations equal to each other and solve for (y). Once you have the intersection points, integrate the absolute difference between the curves with respect to (y) over the interval of intersection. The formula for the area between two curves (f(y)) and (g(y)) from (y = a) to (y = b) is (\int_{a}^{b} |f(y) - g(y)| , dy). Apply this formula using the intersection points as limits of integration.

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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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