Calculus 2 : Integrals

Study concepts, example questions & explanations for Calculus 2

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Example Questions

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Example Question #682 : Finding Integrals

Evaluate the integral: 

Possible Answers:

Correct answer:

Explanation:

You must use u substitution to solve this problem.  

In this case

 

and

.  

So the integral simplifies to 

Example Question #683 : Finding Integrals

Calculate the following integral:

Possible Answers:

Correct answer:

Explanation:

Use  as a substitute, then:

;

Now, rewrite the boundaries of integration in terms of t:

Rewrite the integral in terms of t:

 

Example Question #684 : Finding Integrals

Evaluate the following integral:

Possible Answers:

Correct answer:

Explanation:

We must use substitution to solve this integrand. 

Let    

      

and

       

don't forget to divide buy -1 to isolate the right side

putting all the values back in and pulling the negative sign out of the integral we get:

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