MHB Using Reimann sum to estimate the value of a double integral

[carl123]

If R = [−3, 1] × [−2, 0], Use a Riemann sum with m = 4, n = 2 to estimate the value of ∫∫_R(y² − 2x²) dA. Take the sample points to be the upper left corners of the squares.

So far,

I found the indefinite integral of the function to be y³/3 - 2x³/3

Not sure where to go from here

 

[Prove It]

If R = [−3, 1] × [−2, 0], Use a Riemann sum with m = 4, n = 2 to estimate the value of ∫∫_R(y² − 2x²) dA. Take the sample points to be the upper left corners of the squares.

So far,

I found the indefinite integral of the function to be y³/3 - 2x³/3

Not sure where to go from here

Why are you integrating at all? You were told to use Riemann Sums to ESTIMATE the integral!