1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Double Integral with base e

  1. Nov 20, 2009 #1
    \int_0^1\int_0^y e^{x^2} dx dy

    The region I am integrating over should look like this graph, right?

    I tried switching the bounds but I am left where what I started.

    since 0 < x < y, and 0 < y < 1

    I can switch to 0 < x < 1 , and x < y < 1

    leaving me with the integral [tex]
    \int_0^1\int_x^1 e^{x^2} dy dx

    integrating gives ex2y

    then substituting the values for y gives [tex]
    \int_0^1 e^{x^2} - e^{x^2}x dx

    Am I integrating over the wrong bounds? I know if 0 < y < x, it would work.

    Attached Files:

  2. jcsd
  3. Nov 20, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Everything looks correct and you reversed the limits nicely. I suspect a typo in your textbook. (Of course you can do the second integral but that doesn't help).
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook