Explore BrainMass

Explore BrainMass

    Double Integral : Change of Variables to Polar Coordinate

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Prove

    ∫ 0 --->∞ e^(-x^2) dx = sqrt(pi)/2

    Hint: multiply the integral with itself, use a different dummy variable y, say, for the second integral, write it as a double integral, and use change of variables to polar coordinate.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:11 pm ad1c9bdddf
    https://brainmass.com/math/integrals/double-integral-change-variables-polar-coordinate-34195

    Attachments

    Solution Summary

    A Change of Variable to Polar Coordinate is used to solve a Double Integral. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT