# Fubini's Theorem

I am asked to verify Fubini's Theorem for an integral evaluated over an equilateral triangle. I am asked to fully discuss the reasons for the limits of integration in my solution.

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#### Solution Preview

Please see attached file.

tan 60=ïƒ…3/2=h

2ïƒ¨1/2ïƒ¨ïƒ…3/2(1dydx)=(1/2)bh

0 0

Set up an equilateral triangle on the x-axis with the base from o to 1. Draw a line through(0,0) so it forms a 60 degrees angle with the x axis. Take the angle between the line coming from (0,0) ...

#### Solution Summary

The expert discusses the reasons for the limits of integration in solutions.

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