Exercise 51

Use a CAS to compute the iterated integrals \(\int_0^1 \int_0^1 \frac{x - y}{(x + y)^3} dy dx\) and \(\int_0^1 \int_0^1 \frac{x - y}{(x + y)^3} dx dy\). Do the answers contradict Fubini’s Theorem? Explain what is happening.