Introduction to Integration
This worksheet introduces Grade 9 students to the basic concepts of integration, including antiderivatives and indefinite integrals.
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Introduction to Integration
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Read each question carefully and provide the best answer. Show all your work for short answer questions.
1. What is an antiderivative? Explain in your own words.
2. The process of finding the antiderivative is called .
3. If F'(x) = f(x), then F(x) is an of f(x).
4. The integral symbol is represented by the notation .
The integral symbol looks like this:
5. Which of the following is an antiderivative of f(x) = 2x?
x²
2
x² + C
2x + C
6. Find the indefinite integral of f(x) = 3x².
7. Find the indefinite integral of g(x) = 5.
8. The constant of integration, 'C', is always added when finding an indefinite integral.
True
False
Match each derivative on the left with its antiderivative on the right.
9. f(x) = 4x³
a. x + C
10. f(x) = 1
b. x⁴ + C
11. f(x) = 2x
c. x² + C