# Worksheet: Calculating the Area between Curves

Q1:

Calculate the area of the plane region bounded by the curve and the -axis.

• A area units
• B area units
• C area units
• D area units

Q2:

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

• A
• B
• C
• D
• E

Q3:

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

• A
• B
• C
• D
• E

Q4:

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

Q5:

The plan view of a single corridor floor is bounded by lines , and the curve , all measured in metres. What is the cost of covering 3 such corridors with granite at the price of 100 pounds per square metre?

Q6:

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

• A
• B
• C
• D
• E

Q7:

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

• A
• B
• C
• D
• E

Q8:

Determine the area of the region bounded by the graphs of the functions and , where , and .

• A square units
• B square units
• C square units
• D square units
• E square units

Q9:

Determine the area of the region bounded by the graphs of the functions and , where , and .

• A square units
• B square units
• C square units
• D square units
• E square units

Q10:

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

• A
• B
• C5
• D
• E

Q11:

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

• A8
• B
• C
• D
• E

Q12:

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

Q13:

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

Q14:

Calculate the area bounded by the graph of the function and the two coordinate axes.

• A square units
• B square units
• C75 square units
• D square units
• E square units

Q15:

Calculate the area bounded by the graph of the function and the two coordinate axes.

• A square units
• B square units
• C square units
• D square units
• E square units

Q16:

Find the area of the region bounded by and .

• A
• B
• C
• D
• E

Q17:

Find the area of the region bounded by and .

• A
• B
• C
• D
• E

Q18:

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

• A
• B
• C
• D
• E

Q19:

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

• A
• B
• C
• D
• E

Q20:

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

• A65 square units
• B square units
• C square units
• D square units

Q21:

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

• A60 square units
• B square units
• C16 square units
• D108 square units