Explore BrainMass

Explore BrainMass

    Curls : Green's Theorem

    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!

    When I write A_n it means A "sub" n.

    a) Define A_n= integral from 2pi to 0 of (Cos(theta))^(2n).d(theta)

    Proove the recurrence formula(*):


    by writing Green's thorem for vector field F=x^(2n-1)j in the unit disc x^2+y^2<1 and evaluating each of the integrals separately. ( Use polar coordinates)

    b) Compute A_0 and derive,using (*), the formula for A_n. (remember the integrals there are from 0 to Pi/2, not 2pi.)

    © BrainMass Inc. brainmass.com May 24, 2023, 1:35 pm ad1c9bdddf

    Solution Summary

    Curls are investigated using Green's theorem. Separated integrals are examined.