# Worksheet: Area between Curves

In this worksheet, we will practice applying integration to find the area bounded by the curves of two or more functions.

Q1:

The curves shown are and . What is the area of the shaded region? Give an exact answer. • A
• B
• C0.3068528194
• D0.6931471806
• E

Q2:

Find the area of the region bounded by and .

• A
• B
• C
• D
• E

Q3:

Find the area of the region bounded by the curves and .

• A
• B
• C
• D
• E

Q4:

Find the area of the region bounded by the curves and .

• A5
• B
• C
• D
• E

Q5:

Determine, to the nearest thousandth, the area of the plane region bounded by the curve and the lines , , and .

Q6:

The plan view of a single corridor floor is bounded by lines , and the curve , all measured in meters. What is the cost of covering 6 such corridors with granite at the price of 200 pounds per square meters?

Q7:

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

• A square units
• B65 square units
• C square units
• D square units

Q8:

Find the area of the region bounded by and .

• A
• B
• C
• D
• E

Q9:

Find the area of the region bounded by , , and .

• A
• B
• C
• D
• E

Q10:

Find the area of the region bounded by and .

• A
• B8
• C
• D
• E

Q11:

Find the area of the region bounded by and .

• A
• B
• C
• D
• E

Q12:

Find the area of the region bounded by and , where .

• A
• B
• C
• D
• E

Q13:

The curves shown are and . What is the area of the shaded region? Give an exact answer. • A
• B
• C
• D
• E

Q14:

The curve in the figure is . • A
• B
• C
• D
• E

Q15:

Find the area of the region bounded by and , where .

• A
• B
• C
• D
• E

Q16:

Determine, to the nearest thousandth, the area of the region bounded by the graph of the function , where , and the lines and .

Q17:

Find the area of the region enclosed by the curves , , , and .

• A
• B
• C
• D
• E

Q18:

Find the area of the region enclosed by the curves and for between and .

• A
• B
• C
• D
• E

Q19:

Consider the region in the first quadrant enclosed by the curves , , and . Find the area of this region.

• A
• B
• C
• D
• E

Q20:

Find the area of the region bounded by the curves and .

• A
• B
• C
• D
• E

Q21:

Find the area of the region enclosed by the curves and and the lines and .

• A
• B
• C
• D
• E

Q22:

Find the area of the region bounded above by and below by .

• A
• B
• C
• D
• E

Q23:

Find the area of the region enclosed by the curves and .

• A
• B
• C
• D
• E

Q24:

Find the area of the region bounded above by , bounded below by , and bounded on the side by .

• A
• B
• C
• D
• E

Q25:

Find the area of the region bounded by and .

• A
• B
• C
• D
• E