{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

140Bquiz14asols - 1 MATH 140B QUIZ#14 Solutions 1 Let u = 3...

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

View Full Document Right Arrow Icon
1 MATH 140B QUIZ#14 Solutions Dec 14, 2007 1. Let u = 3 - x so du = - dx . When x = - 1 , u = 4 and when x = 1 , u = 2 . Therefore, integraldisplay 1 - 1 dx 3 - x = - integraldisplay 2 4 1 u du = - ln u bracketrightbig 2 4 = - (ln2 - ln4) = ln4 - ln2 = 2ln2 - ln2 = ln2 . Therefore, C) is the answer. 2. Let u = x 3 - 1 so du = 3 x 2 dx . When x = 0 , u = - 1 and when x = 1 , u = 0 . Therefore, integraldisplay 1 0 9 x 2 ( x 3 - 1) 5 dx = 3 integraldisplay 0 - 1 u 5 du = 1 2 u 6 bracketrightbigg 0 - 1 = 1 2 bracketleftbig 0 - ( - 1) 6 bracketrightbig = - 1 2 . Therefore, E) is the answer. 3. Let u = x 2 - 2 so du = 2 x dx and 2 du = 4 x dx. When x = 0 , u = - 2 and when x = 1 , u = - 1. Hence integraldisplay 1 0 4 x ( x 2 - 2) 3 dx
Image of page 1
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