Worksheet: Determining the Type of the Improper Integrals and Evaluate It with a Discontinuous Integrand

Q1:

Determine whether the integral is convergent or divergent.

• BConvergent

Q2:

Determine whether the integral is convergent or divergent.

• Bconvergent

Q3:

The integral is convergent. What does it converge to?

• A0
• B
• C
• D
• E

Q4:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E

Q5:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E6

Q6:

Determine whether the integral is convergent or divergent.

• Bconvergent

Q7:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E

Q8:

The integral is convergent. What does it converge to?

• A
• B0
• C
• D
• E

Q9:

Determine whether the integral is convergent or divergent.

• Bconvergent

Q10:

The integral is convergent. What does it converge to?

Q11:

Determine whether the integral is convergent or divergent.

• Bconvergent

Q12:

Determine whether the integral is convergent or divergent.

• Bconvergent

Q13:

Determine whether the integral is convergent or divergent.

• Bconvergent

Q14:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E2

Q15:

Consider the integral .

Find all possible values of for which the integral is convergent.

• A
• B
• C
• D
• E

Evaluate the integral for those values of .

• A
• B
• C
• D
• E

Q16:

Consider the integral .

Find all possible values of for which the integral is convergent.

• A
• B
• C
• D
• E

Evaluate the integral for those values of .

• A
• B
• C
• D
• E