Explore BrainMass

Variable substitution in multivariate Integrals

Please see the attached file for the fully formatted problems.

calculate the integarl of (3x + 4) over the region bounded by
the lines y =x, y = x-2, y =-2x and y = 3 - 2x;


x = 1/3(u+ v), y = 1/3(v - 2u)


Solution Preview

Hello and thank you for posting your question to Brainmass!
The solution ...

Solution Summary

The solution shows how to utilize the coordinates transormation to obtain a nicer form of a double integral.