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 December 24, 2021, 5:05 pm ad1c9bdddf
Curls are investigated using Green's theorem. Separated integrals are examined.