Area Between Curves Worksheet

Calculate the area between two curves using integration.

Grade 9 Math CalculusArea Between Curves

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Includes

3 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.7CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSF.BF.A.1

Topics

calculusareacurvesintegrationgrade 9

7 sections · Free to use · Printable

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Read each question carefully and calculate the area between the given curves. Show all your work.

1. Find the area of the region bounded by the curves y = x^2 and y = x.

2. Calculate the area enclosed by y = x^2 - 4x and y = -x.

3. To find the area between two curves f(x) and g(x) from x=a to x=b, where f(x) ≥ g(x) on [a,b], you evaluate the definite integral of from a to b.

4. The intersection points of the curves are typically used as the of integration.

5. The area between curves can sometimes be negative if the lower function is subtracted from the upper function.

True

False

6. When finding the area between curves, it is always necessary to graph the functions first.

True

False

7. Determine the area of the region bounded by y = sin(x) and y = cos(x) from x = 0 to x = π/2.