Deck 5: Extension C: Integrals

Question 1

Evaluate the integral.

A)
B)
C)
D)
E)

Answer 1

Question 2

The area of the region that lies to the right of the y-axis and to the left of the parabola (the shaded region in the figure)is given by the integral Find the area..

A)
B)
C)
D)
E)

Answer 2

Question 3

Evaluate the integral.

A)
B)
C)
D)
E)

Answer 3

Question 4

The velocity of a car was read from its speedometer at ten-second intervals and recorded in the table.Use the Midpoint Rule to estimate the distance traveled by the car.

A) 1.8 miles
B) 0.6 miles
C) 0.8 miles
D) 1.2 miles
E) 2.4 miles

Question 5

Evaluate the integral.

A)
B)
C)
D)
E)

Question 6

The acceleration function (in m/ )and the initial velocity are given for a particle moving along a line.Find the velocity at time t and the distance traveled during the given time interval.

A)
B)
C)
D)
E)

Question 7

The velocity function (in meters per second)is given for a particle moving along a line.Find the distance traveled by the particle during the given time interval.

A) 68 m
B) 100 m
C) 64 m
D) 36 m
E) 72 m