KiwiBee printable
Areas of regions bounded by graphs and the y-axis
Free printable Calculus math worksheet for "Areas of regions bounded by graphs and the y-axis" — practice applications of integration. No-prep, print or assign online.
This worksheet provides challenging problems focused on finding areas of regions bounded by functions and the y-axis, reinforcing students' understanding of integral applications. Teachers can use it to deepen students' skills in setting up and evaluating definite integrals involving vertical boundaries. Ideal for high school calculus classes, it supports mastery of area calculation and integration concepts.
Learning objectives
- Calculate the area of regions bounded by given graphs and the y-axis using definite integrals.
- Set up appropriate integral expressions for areas involving the y-axis as a boundary.
- Apply integration techniques to solve complex area problems in the context of calculus.
Answer Key

How to use this worksheet
- Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
- 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.
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 StudioRelated worksheets

Areas of regions bounded by curves with more than two intersection points
Worksheets
hard
Ages 14–18

Areas of regions bounded by graphs and the x-axis
Worksheets
hard
Ages 14–18

Areas of regions bounded by two curves: functions of x
Worksheets
hard
Ages 14–18

Average value of a function
Worksheets
hard
Ages 14–18

Relate position, velocity, speed, and acceleration using integrals
Worksheets
hard
Ages 14–18

Areas of regions bounded by two curves: functions of y
Worksheets
hard
Ages 14–18

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

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