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Integration and Integration Techniques Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. How do you check your answer when integrating and using u substitution?

Question 2 2. Evaluate the following integral. As a hint, you might want to simplify the fraction as shown.

Question 3 3. Evaluate the integral.

Question 4 4. Integrate the following.

Question 5 5. What is an improper integral?

Page 2

Question 6 6. When using trig substitution, if you have a function in the form of c^2-x^2, what kind of substitution should you use?

Question 7 7. Evaluate the following integral.

Question 8 8. Evaluate the following integral.

Question 9 9. Which of the following is the BEST way to solve the integral below using integration by parts?

Question 10 10. What is the area of the rectangle under line y=2 starting at x=3 and ending at x=6?

Page 3

Question 11 11. Evaluate the integral.

Question 12 12. Evaluate the following integral.

Question 13 13. Evaluate and solve the following integral.

Question 14 14. How do you know what to substitute for u substitution?

Question 15 15. Evaluate the following integral.

Page 4

Question 16 16. Assume the symbols are constants. Evaluate the following

Question 17 17. Evaluate the following.

Question 18 18. Evaluate and solve the following integral.

Question 19 19. What is the integral of cos (x)?

Question 20 20. Integrate the following.

Page 5

Question 21 21. Factorize.

Question 22 22. Evaluate the following integral.

Question 23 23. Integrate the following.

Question 24 24. Integrate the following.

Question 25 25. How does integration by parts help you?

Page 6

Question 26 26. Evaluate the following integral.

Question 27 27. When evaluating a definite integral, do you need to include the constant of integration?

Question 28 28. Factor the fraction below.

Question 29 29. Graph the following to find z.

Question 30 30. Evaluate the following integral.

Integration and Integration Techniques Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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