Area Between Curves Worksheets
Compute exact integrals and sums, distinguish area from signed integrals, and include constants for indefinite integrals.
Before you begin
Manipulate algebraic expressions and understand functions, limits and derivative notation.
Worked example
Find the area between y = 3x and y = 0 from x = 0 to x = 2.
- On this interval the line is above the x-axis.
- Integrate top minus bottom over the interval.
Answer: 6 square units
Check your result using the method in the example before moving to the next question.
Choose your level
- Easy: Apply a basic rule to simple coefficients.
- Medium: Use shifts, products or multiple terms.
- Hard: Combine rules or interpret an application.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
Find the area between y = 2x and y = 0 from x = 0 to x = 3.
2
Find the area between y = 5x and y = 0 from x = 0 to x = 2.
3
Find the area between y = 5x and y = 0 from x = 0 to x = 1.
4
Find the area between y = 4x and y = 0 from x = 0 to x = 3.
5
Find the area between y = 4x and y = 0 from x = 0 to x = 2.
6
Find the area between y = 6x and y = 0 from x = 0 to x = 2.
Answer Key
1. 9 square units2. 10 square units3. 5/2 square units4. 18 square units5. 8 square units6. 12 square units