{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

5.4.11-eg-1 - To this end let F u = Z u 5 t 2 3 dt where u...

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

View Full Document Right Arrow Icon
Example Find F 0 ( x ) if F ( x ) = Z x 3 5 t 2 / 3 dt. Solution: We cannot directly appeal to the first part of the Fundamental Theorem of Calculus because the upper limit of the definite integral is not x alone. However, we can still find F 0 ( x ) by making use of the Chain Rule.
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: To this end let F ( u ) = Z u 5 t 2 / 3 dt, where u = x 3 . Then, dF dx = dF du ± ± ± ± ± u = x 3 du dx = u 2 / 3 ± ± ± u = x 3 · 3 x 2 = ² x 3 ³ 2 / 3 · 3 x 2 = x 2 · 3 x 2 = 3 x 4 ....
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