{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

test 4 - Name Math 160 Test#4 Integration For the problems...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: __________ Math 160 Test #4: Integration For the problems marked Calculator-free, no calculators may be used. You must show all work for these problems so that I can see, step by step, how it is done. Part I: Anti-derivatives Find the anti-derivative or integrate, as indicated. No calculators permitted for this part. 1. f ' x = x 2 6 x x 2. r ' s = s 2 2 s 3. du dv = v 1 v 2 4. x 6 x dx 5. x x 6 dx 6. x 2 x 3 1 dx 7. Find the equation of the line with slope y' = e 2 x 1 that passes through (0,5). Part II: Fundamental Theorem of Calculus 8. Estimate the area under the curve y = 9 x 2 from x = 0 to x = 3 A. Using L 3 B. Using R 3 C. Using M 3 D. What is the maximum error for this area if we partition it into three intervals? E. How many intervals would we need to calculate the area to the nearest tenth?
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Part III: Area You may use a calculator as necessary, but I need to see you set up the integral. Showing all work up to that point (especially sketching graphs) would be helpful, too.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern