Skip to main content

KiwiBee printable

Approximate the area under a curve: midpoints

Free printable Calculus math worksheet for "Approximate the area under a curve: midpoints" — practice introduction to integration. No-prep, print or assign online.

Approximate the area under a curve: midpoints — free printable Calculus math worksheetOpen in KiwiBee to download

This worksheet provides a challenging set of problems focused on approximating the area under a curve using midpoint Riemann sums. Teachers can use it to reinforce students' understanding of integration concepts and numerical approximation methods. Ideal for high school calculus classes, it supports skill development in estimating definite integrals and comparing approximation techniques.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Calculate the approximate area under a curve using midpoint Riemann sums.
  • Apply midpoint approximation techniques to estimate definite integrals.
  • Analyze the accuracy of midpoint approximations compared to other Riemann sum methods.

Answer Key

Answer key for Approximate the area under a curve: midpoints — free printable Math worksheet

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. Use the included answer key to mark it in seconds.

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

Definite integrals and net area

Definite integrals and net area

Worksheets
hard
Ages 14–18
Approximate the area under a curve: left and right endpoints

Approximate the area under a curve: left and right endpoints

Worksheets
hard
Ages 14–18
Approximate the area under a curve: trapezoids

Approximate the area under a curve: trapezoids

Worksheets
hard
Ages 14–18
Evaluate definite integrals using graphs

Evaluate definite integrals using graphs

Worksheets
hard
Ages 14–18
Properties of definite integrals

Properties of definite integrals

Worksheets
hard
Ages 14–18
Relate Riemann sums and definite integrals

Relate Riemann sums and definite integrals

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