Calculus 2 : Integrals

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #391 : Integrals

Possible Answers:

Correct answer:

Explanation:

Compute the Indefinite Integral

Evaluate the integral

Example Question #29 : Definite Integrals

Suppose , where  is a constant 

Find  such that 

Possible Answers:

Correct answer:

Explanation:

By the fundamental theorem of calculus:

 

Example Question #21 : 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 #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 #2141 : Calculus Ii

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 #35 : 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 #36 : 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 #37 : 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: 

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