Free Printable WorksheetMathCalculus IIMath CurriculumAP Calculus BC Unit 6; FL MA.912.C.4.1-4.10; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-IA; TEKS 19 TAC section 111.55

CAL2.13 Definite Integrals from Tables Worksheet

Download our free printable Calculus II Math worksheet on CAL2.13 Definite Integrals from Tables. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Download PDFDownload DOCX
Prefer interactive practice with instant grading and explanations?Practice Definite Integrals from Tables Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Calculus II Math worksheet provides structured practice on CAL2.13 Definite Integrals from Tables. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

CAL2.13 Definite Integrals from Tables - Select the best approximate integral from tabular data using the indicated numerical method. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.1-4.10; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-IA; TEKS 19 TAC section 111.55.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Calculus II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related CAL2.13 Definite Integrals from Tables skill assessments:

Problem 1Difficulty: Mastery
The table gives selected values of f(x). Table: x: -1, 0, 2, 3.5, 5; f(x): 2, -4, 6, 1, 8. Using the trapezoidal rule, approximate ∫_{5}-1 f(x) dx.
A13
B-13
C-4.5
D-21.5
Solution & Explanation:First approximate the forward integral with trapezoids: 1(2 + (-4))/2 + 2((-4) + 6)/2 + 1.5(6 + 1)/2 + 1.5(1 + 8)/2 = 13. Reversing the limits changes the sign, so the estimate is -13.
Problem 2Difficulty: Mastery
The table gives equally spaced values of f(x). Table: x: 1, 1.5, 2, 2.5, 3; f(x): 4, -2, 5, 1, 6. Using Simpson's rule after computing the transformed table values, approximate ∫_{1}3 x f(x) dx.
A2.667
B10.25
C6.667
D6.75
Solution & Explanation:Compute x f(x) at each tabulated x: 4, -3, 10, 2.5, 18. Simpson's rule on those values gives 0.5/3[4 + 18 + 4((-3) + 2.5) + 2(10)] = 6.667. A tempting wrong answer applies Simpson's rule to f(x) instead.
Problem 3Difficulty: Mastery
The table gives equally spaced values of f(x). Table: x: 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4; f(x): 5, 4, 7, 3, -1, 2, 6, 8, 9. Using Simpson's rule, which is the best approximation to ∫_{0}4 f(x) dx?
A18
B21.5
C16
D17.667
Solution & Explanation:The data have 8 equal subintervals, so Simpson's rule applies: 0.5/3[5 + 9 + 4(4 + 3 + 2 + 8) + 2(7 + (-1) + 6)] = 17.667. The 4-2-4 pattern must be assigned to the interior values in order.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this CAL2.13 Definite Integrals from Tables worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this CAL2.13 Definite Integrals from Tables worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice CAL2.13 Definite Integrals from Tables online with instant feedback?

Yes! In addition to this printable worksheet, students can practice CAL2.13 Definite Integrals from Tables interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Calculus II Math students. It aligns with educational standard AP Calculus BC Unit 6; FL MA.912.C.4.1-4.10; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-IA; TEKS 19 TAC section 111.55 (Select the best approximate integral from tabular data using the indicated numerical method. Standards: AP Calculus BC Unit 6; FL MA.912.C.4.1-4.10; CCSS.HSN.Q.1-3; CCSS.MP2, MP4, MP6, MP7; Integrated Calculus II Standards CAL2-IA; TEKS 19 TAC section 111.55.).

Related Calculus II Math Resources

Continue learning with complementary skill worksheets and online practice

More Calculus II Worksheets

CAL2.1 Function Fluency for Calculus II
CAL2.10 Antiderivatives and General Solutions
CAL2.100 Parametric Arc Length
CAL2.101 Area Under a Parametric Curve
Browse all Calculus II Worksheets

Interactive Online Skills

CAL2.1Function Fluency for Calculus II
CAL2.2Algebraic Rewriting for Integration
CAL2.3Trigonometric Identity Readiness
CAL2.4Exponential and Logarithmic Fluency
Browse all Calculus II Interactive Practice