Antidifferentiation Practice Worksheet

A Grade 11 Calculus worksheet focusing on the fundamental concepts and techniques of antidifferentiation, including power rule, constant of integration, and basic trigonometric functions.

Grade 11 Math CalculusAntidifferentiation

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7.ECCSS.MATH.CONTENT.HSF.BF.B.4.A

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Antidifferentiation Practice

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Read each question carefully and show all your work. Remember to include the constant of integration, 'C', in your answers for indefinite integrals.

Find the indefinite integral of each function.

1. ∫ (3x² - 2x + 5) dx

2. ∫ (4√x + 1/x²) dx

Choose the correct indefinite integral for each function.

3. ∫ cos(x) dx

sin(x) + C

-sin(x) + C

tan(x) + C

-cos(x) + C

4. ∫ e^(2x) dx

e^(2x) + C

2e^(2x) + C

(1/2)e^(2x) + C

e^(x) + C

Complete the following statements about antidifferentiation.

5. The process of finding the antiderivative is also known as .

6. When finding an indefinite integral, we must always add a of integration.

Indicate whether each statement is True or False.

7. The antiderivative of a constant 'k' is kx + C.

True

False

8. The antiderivative of ln(x) is 1/x + C.

True

False

9. The velocity of a particle is given by v(t) = 6t² - 4t + 1. Find the position function s(t) if s(0) = 3.