# Worksheet: Definite Integrals

Q1:

The graph of a function is shown. Which is the graph of an antiderivative of ?

• A
• B
• C

Q2:

Determine .

• A
• B
• C
• D
• E

Q3:

If is the rate of growth of a child in grams per week, what does represent?

• AIt represents the childβs weight (in grams) at the age of 5 weeks.
• BIt represents the childβs weight (in grams) at the age of 1 week.
• CIt represents the increase in the childβs weight (in grams) during the last week.
• DIt represents the net change in the childβs weight (in grams) between the ages of 1 and 5 weeks.
• EIt represents the childβs weight (in grams) at the age of 3 weeks.

Q4:

Evaluate .

• A
• B
• C
• D
• E54

Q5:

Determine .

• A
• B
• C
• D

Q6:

Let Determine .

Q7:

If oil leaks from a tank at a rate of gallons per minute at time , which of the following does represent?

• Athe number of gallons of oil left in the tank after 20 minutes
• Bthe number of gallons of oil left in the tank after 120 minutes
• Cthe number of gallons of oil leaked during the last minute
• Dthe number of gallons of oil leaked between the 20th and minutes
• Ethe number of gallons of oil left in the tank after 70 minutes

Q8:

Evaluate .

• A
• B192
• C
• D
• E

Q9:

The figure shows the graph of the function

Which of the following is the graph of ?

• A(c)
• B(a)
• C(d)
• D(b)

Q10:

The figure shows the graph of the function

Which of the following is the graph of ?

• A
• B
• C
• D
• Enone of these

Q11:

Evaluate .

• A
• B
• C
• D
• E

Q12:

A honeybee population starts with 100 bees and increases at a rate of bees per week. What does represent?

• AIt represents the net change in population between week 1 and week 8.
• BIt represents the net change in population between week 1 and week 16.
• CIt represents the total population in week 8.
• DIt represents the total population in week 16.
• EIt represents the total population in week 1.

Q13:

The figure shows the graph of the function

Which of the following is the graph of ?

• A(c)
• B(a)
• C(b)
• D(d)

Q14:

Determine .

• A
• B
• C
• D

Q15:

If , determine .

Q16:

Given the graph of below, if , which of the following is the largest?

• A
• B
• C
• D
• E

Q17:

Consider the integral . Which of the following is a correct characterization of this integral?

• AThe integral is undefined if , and .
• BThe integral is undefined if and .
• CThe integral is undefined only if or .
• DThe integral is defined for all finite values of and .
• EThe integral is undefined only if or is an integer multiple of .

Q18:

Determine .

• A
• B
• C
• D

Q19:

Evaluate .

• A39
• B
• C
• D