Calculus 2 : Definite Integrals

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #51 : Definite Integrals

Evaluate.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

Given: 

In this case, .

The antiderivative is  .

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

Example Question #52 : Definite Integrals

Evaluate.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

Given: 

In this case, .

The antiderivative is  .

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

 

 

Example Question #52 : Definite Integrals

Evaluate.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

Given: 

In this case, .

The antiderivative is  .

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

 

Example Question #54 : Definite Integrals

Evaluate.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

Given: 

In this case, .

The antiderivative is  .

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

 

Example Question #53 : Definite Integrals

Evaluate.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

Given: 

In this case, .

The antiderivative is  .

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

 

Example Question #51 : Definite Integrals

Evaluate.

Possible Answers:

Answer not listed

Correct answer:

Explanation:

Given: 

In this case, .

The antiderivative is  .

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

Example Question #54 : Definite Integrals

Evaluate.

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 #58 : Definite Integrals

Evaluate.

 

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 #51 : Definite Integrals

Evaluate.

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 #55 : Definite Integrals

Evaluate.

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: 

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