# Worksheet: Finding the Total Area Bounded by Alternating Functions

Q1:

The curve in the figure is .

• 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