
Areas of regions bounded by two curves: functions of x
Free printable Calculus math worksheet for "Areas of regions bounded by two curves: functions of x" — practice applications of integration. No-prep, print or assign online.
This worksheet provides challenging practice on finding areas of regions bounded by two curves with respect to x. Teachers can use it to reinforce students' understanding of setting up and evaluating definite integrals in calculus. The problems emphasize applications of integration, helping students develop skills in interpreting graphs and computing areas between functions.
Learning objectives
- Calculate the area of regions bounded by two curves expressed as functions of x using definite integrals.
- Set up and evaluate integrals to find areas between curves in various configurations.
- Interpret graphical information to determine the limits of integration for area calculations.
Answer Key

How to use this worksheet
- Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 50 downloads a month).
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Frequently asked questions
Is the “Areas of regions bounded by two curves: functions of x” worksheet free?
Yes. “Areas of regions bounded by two curves: functions of x” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 50 downloads a month.
What grade or age is this Math worksheet for?
It's designed for High School (ages 14–18), covering Applications of integration.
Does it come with an answer key?
Yes — a matching answer key is included so you can grade it in seconds.
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