Calculus 2 : Definite Integrals

Study concepts, example questions & explanations for Calculus 2

varsity tutors app store varsity tutors android store

Example Questions

Example Question #41 : Finding Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #42 : Finding Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #43 : Finding Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #44 : Finding Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #45 : Finding Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #46 : Finding Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #31 : Definite Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #32 : Definite Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #33 : Definite Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Example Question #34 : Definite Integrals

Evaluate this integral.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

In order to evaluate this integral, first find the antiderivative of 

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: 

Learning Tools by Varsity Tutors