Antidifferentiation Practice

A Grade 10 Math worksheet covering fundamental concepts and techniques of antidifferentiation (integration).

Grade 10 Math CalculusAntidifferentiation

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HS.C.A.2

Topics

CalculusAntidifferentiationIntegrationMathGrade 10

7 sections · Free to use · Printable

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Read each question carefully and show all your work. Remember to include the constant of integration, 'C', where appropriate.

1. Antidifferentiation is the reverse process of .

2. The symbol used to denote integration is .

3. The antiderivative of a constant 'k' is .

Find the general antiderivative for each of the following functions:

4. f(x) = 5x^4

5. g(x) = 3x^2 - 2x + 1

6. h(x) = 1/x

7. Which of the following is an antiderivative of f(x) = cos(x)?

-sin(x) + C

sin(x) + C

sec(x) + C

tan(x) + C

8. The antiderivative of a product of two functions is the product of their antiderivatives.

True

False

9. If the velocity of an object is given by v(t) = 9.8t + 3 m/s, find the position function s(t) assuming s(0) = 0.