# Lesson Worksheet: Improper Integrals: Infinite Limits of Integration Mathematics • Higher Education

In this worksheet, we will practice evaluating improper integrals where one or more of the endpoints approach infinity.

Q1:

Is an improper integral?

• ANo
• BYes

Q2:

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

Q3:

The integral is convergent. What does it converge to?

Q4:

The integral is convergent. What does it converge to?

Q5:

Determine whether the integral is convergent or divergent.

• Aconvergent
• Bdivergent

Q6:

Determine whether the integral is convergent or divergent.

• Aconvergent
• Bdivergent

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?

Q9:

Determine whether the integral is convergent or divergent.

• Aconvergent
• Bdivergent

Q10:

Consider the integral .

Determine whether the integral is convergent or divergent.

• BConvergent

Determine the value of integration.

• A
• B
• C
• D
• E

Q11:

The integral is convergent. What does it converge to?

• A
• B0
• C
• D
• E

Q12:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E

Q13:

Determine whether the integral is convergent or divergent.

• Aconvergent
• Bdivergent

Q14:

The integral is convergent. What does it converge to?

• A
• B
• C0
• D
• E

Q15:

Determine whether the integral is convergent or divergent.

• Aconvergent
• Bdivergent

Q16:

The integral is convergent. What does it converge to?

• A
• B
• C
• D0
• E

Q17:

The integral is convergent. What does it converge to?

Q18:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E

Q19:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E

Q20:

The integral is convergent. What does it converge to?

• A2
• B
• C
• D
• E

Q21:

Determine whether the integral is convergent or divergent.

• Bconvergent

Q22:

The integral is convergent. What does it converge to?

Q23:

The integral is convergent. What does it converge to?

• A
• B
• C
• D
• E

Q24:

Determine whether the integral is convergent or divergent.

• Aconvergent
• Bdivergent