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Worksheet: Finding the Total Area Bounded by Alternating Functions

Q1:

The curve in the figure is .

What is the area of the shaded region? Give your answer exactly as a fraction.

  • A
  • B
  • C
  • D
  • E

Q2:

The curves shown are and . What is the area of the shaded region? Give an exact answer.

  • 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:

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

  • A
  • B
  • C
  • D
  • E

Q5:

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

  • A
  • B
  • C
  • D
  • E

Q6:

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

  • A
  • B
  • C
  • D
  • E

Q7:

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

  • A
  • B
  • C
  • D
  • E

Q8:

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

  • A
  • B
  • C
  • D
  • E

Q9:

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

  • A
  • B
  • C
  • D
  • E

Q10:

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

  • A16
  • B
  • C
  • D4
  • E

Q11:

A particle’s velocity in metres per second as a function of time is . What distance does it travel between and ?

  • A m
  • B m
  • C m
  • D2 m
  • E m

Q12:

A particle’s velocity in metres per second as a function of time is . What distance does it travel between and ?

  • A m
  • B6 m
  • C m
  • D14 m
  • E m

Q13:

The velocity function, in meters per second, for a particle moving along a line is . Determine the particle’s displacement during the time interval .

  • A m
  • B m
  • C m
  • D m
  • E76 m