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Limits by direct substitutionLimits by factoring (0/0 forms)Limits at infinityOne-sided limits and continuity

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1. Definite integrals

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Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettingsShow answers

Name ______________________Date ____________Score ____ / 12

Definite integrals practice

Definite integrals · 1–12

Evaluate.

Hard

1.Find the average value of f(x) = 3x² − 2x + 1 on [0, 3].

Hard

2.Find the average value of f(x) = −2x − 2 on [0, 4].

Hard

3.Find the average value of f(x) = 6x² + 4x + 4 on [0, 2].

Hard

4.Find the average value of f(x) = −3x² + 4x − 4 on [0, 3].

Hard

5.Find the average value of f(x) = 3x² − 4x + 5 on [1, 3].

Hard

6.Find the average value of f(x) = 3x² + 4x + 6 on [−1, 3].

Hard

7.Find the average value of f(x) = −3x² + 2x − 4 on [0, 3].

Hard

8.Find the average value of f(x) = 4x + 5 on [−3, −2].

Hard

9.Find the average value of f(x) = −2x + 4 on [0, 1].

Hard

10.Find the average value of f(x) = −6x² − 2x − 2 on [0, 4].

Hard

11.Find the average value of f(x) = −3x² − 6x − 6 on [−3, −1].

Hard

12.Find the average value of f(x) = 6x² − 6x + 4 on [1, 3].

Answer key — Definite integrals practice

Definite integrals

1.7

2.−6

3.16

4.−7

5.10

6.17

7.−10

8.−5

9.3

10.−38

11.−7

12.18

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