Lesson: Finding the Area between a Curve and the x-axis

In this lesson, we will learn how to calculate the areas of enclosed regions, between a given curve and the x-axis and between specified bounds.

Worksheet: Finding the Area between a Curve and the x-axis • 13 Questions

Q1:

The curve shown is . What is the area of the shaded region? Give an exact answer.

Q2:

The curve shown is . What is the area of the shaded region? Give an exact answer.

Q3:

The figure shows the graph of .

Calculate the area of the shaded region, giving your answer as a fraction.

Q4:

Determine the area of the plane region bounded by the curve , the -axis, and the two lines and .

Q5:

Determine the area of the plane region bounded by the curve , the -axis, and the two lines and .

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