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Worksheet: 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:

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?

Q4:

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

  • A
  • B
  • C
  • D
  • E

Q5:

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

  • Asquare units
  • Bsquare units
  • Csquare units
  • Dsquare units
  • Esquare units

Q6:

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

  • A
  • B
  • C
  • D8
  • E

Q7:

Determine, to the nearest hundredth, the area of the region bounded by the curve , the line and the -axis.

Q8:

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

Q9:

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

Q10:

Find the area of the region bounded by and .

  • A
  • B
  • C
  • D
  • E

Q11:

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

  • A
  • B
  • C
  • D
  • E

Q12:

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

  • A16 square units
  • B108 square units
  • C60 square units
  • D square units