Question

(1 pt) Evaluate the integral \int\!\!\!\int_R (x^{2}-2y^{2}) \, dA, where R is the first quadrant region between the circles of radius 4 and radius 5.

Answer 1

Use polar coords?\[
x=r\cos(\theta)\\
y=r\sin(\theta)\\
dA = rdrd\theta\\
R= [4,5]\times [0,2\pi]
\]