Antiderivatives 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 general antiderivative of 3x^3.
- Increase the exponent by 1 and divide by the new exponent.
- Add an arbitrary constant C.
Answer: (3/4)x^4 + C
Check your result using the method in the example before moving to the next question.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
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 general antiderivative of 2x^2.
2
Find the general antiderivative of 5x^1.
3
Find the general antiderivative of 5x^3.
4
Find the general antiderivative of 4x^2.
5
Find the general antiderivative of 4x^4.
6
Find the general antiderivative of 6x^4.
Answer Key
1. (2/3)x^3 + C2. (5/2)x^2 + C3. (5/4)x^4 + C4. (4/3)x^3 + C5. (4/5)x^5 + C6. (6/5)x^5 + C