20b_03f_1e - t 3 dt 2 Express the following as integrals DO...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 20B First Midterm 50 points October 23, 2003 Print Name, ID number and Section on your blue book. BOOKS and CALCULATORS are NOT allowed. One sheet of NOTES is allowed. You must show your work to receive credit. 1. (8 points each) Evaluate the following. For the definite integrals, write your answers as rational numbers. Remember to show your work! (a) Z xe 2 x dx . (b) Z 4 0 x 9 + x 2 dx . (c) Z 1 e x + 1 dx (d) Z 1 - 1 sin( t 3 ) dt . Hint : This is very simple when looked at the right way. (e) g 0 ( x ) where g ( x ) = Z 2003 x 2 sin(
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: t 3 ) dt . 2. Express the following as integrals. DO NOT EVALUATE the integals. Sketches may be useful in obtaining partial credit if you make a mistake. (a) (3 points) The average of the positive values of f ( x ) = 9-x 2 ; that is, the average over those x for which f ( x ) ≥ 0. (b) (7 points) The volume of the solid obtained by rotating the region that lies below y = x and above y = x 2 about the y-axis. END OF EXAM...
View Full 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