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Integrate using long division — free printable Calculus math worksheet

Integrate using long division

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

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” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
  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.

Frequently asked questions

Is the “Integrate using long division” worksheet free?

Yes. “Integrate using long division” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.

What grade or age is this Math worksheet for?

It's designed for High School (ages 14–18), covering Integration techniques.

Do I need to prep anything?

No. It's a no-prep, print-and-go worksheet — just download and hand it out.

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