Skip to main content

KiwiBee printable

Integrate using long division

Free printable Calculus math worksheet for "Integrate using long division" — practice integration techniques. No-prep, print or assign online.

Integrate using long division — free printable Calculus math worksheetOpen in KiwiBee to download

This worksheet guides students through the process of integrating rational functions by applying polynomial long division first. Teachers can use this resource to reinforce advanced integration techniques and help students tackle challenging calculus problems involving improper fractions. It is ideal for high school calculus classes focusing on integration methods and polynomial manipulation.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Perform polynomial long division to simplify integrands before integration
  • Apply integration techniques to rational functions after long division
  • Analyze and solve complex integrals involving improper rational functions using long division

How to use this worksheet

  1. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

Likes & comments

See what other teachers think and share a helpful note.

Loading likes and comments…

Create more worksheets in our Worksheet Studio

Generate fresh worksheets for any grade, topic, and language — free.

Open the Worksheet Studio

Related worksheets

Evaluate definite integrals using substitution

Evaluate definite integrals using substitution

Worksheets
hard
Ages 14–18
Choose an integration strategy: definite integrals

Choose an integration strategy: definite integrals

Worksheets
hard
Ages 14–18
Find indefinite integrals using substitution

Find indefinite integrals using substitution

Worksheets
hard
Ages 14–18
Choose an integration strategy: indefinite integrals

Choose an integration strategy: indefinite integrals

Worksheets
hard
Ages 14–18
Integrals involving inverse trigonometric functions

Integrals involving inverse trigonometric functions

Worksheets
hard
Ages 14–18
Integrate by completing the square

Integrate by completing the square

Worksheets
hard
Ages 14–18
Properties of operations on rational and irrational numbers

Properties of operations on rational and irrational numbers

Worksheets
hard
Ages 14–18
Convert an explicit formula to a recursive formula

Convert an explicit formula to a recursive formula

Worksheets
hard
Ages 14–18