Area between curves

For this graph would you do "Top - Bottom" OR "Right - Left" to find the area between the curves? (Select all answers that are correct here)

• Top - Bottom since they are both functions

• Right - Left since at least one of them is a non-function

• Top - Bottom since x is alone in the equations

• Right - Left since x is alone is each equation

Draw an example of a graph that would require you to use Right - Left to find the area between the curves.

Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

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For this graph would you do "Top - Bottom" OR "Right - Left" to find the area between the curves?

• Top - Top

• Top - Bottom

• Right - Left

• Who knows...this is so trippy

Write the integral that would be used to find the area of the region bounded by x = 1, y = √x and y = 6-x.

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Draw an example of a graph that would require you to use Top - Bottom to find the area between the curves.

Find the area of the region bounded by the equations y = x² + 1 and y = 5. Hint: set it up and then use a GC or Desmos

How many integrals would be needed to find the area between these curves?

• one, of course

• two

• 8

• 1/2

• 4

Write the integral that would be used to find the area bounded by y = x² + 1, y = x - 2, x = -2 and x = 2. Simplify, if needed.

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