Polar Coordinates – Finding integration limits in polar coordinates – Exercise 3992

Exercise

Given the double integral

Df(x,y)dxdy\int\int_D f(x,y) dxdy

Calculate the integration limits in polar coordinates where D is the domain

a2x2+y2b2,0<a<ba^2\leq x^2+y^2\leq b^2, 0<a<b

Final Answer

02πdθabf(rcosθ,rsinθ)rdr\int_0^{2\pi}d\theta\int_a^b f(r\cos\theta,r\sin\theta)\cdot r dr

Solution

Coming soon…

Share with Friends

Leave a Reply