Use a CAS to evaluate the iterated integrals 10 10y x(x + y)3 dx dy and 10 10y x(x + y)3

Chapter 14, Problem 43

(choose chapter or problem)

Use a CAS to evaluate the iterated integrals

$\int_{0}^{1} \int_{0}^{1} \frac{y-x}{(x+y)^{3}} d x \ d y$ and $\int_{0}^{1} \int_{0}^{1} \frac{y-x}{(x+y)^{3}} d y \ d x$

Does this contradict Theorem 14.1.3? Explain.

Equation Transcription:

$\int\limits_{0}^{1}\int\limits_{0}^{1}\frac{y-x}{(x+y{)}^{3}}dx\ dy$

$\int\limits_{0}^{1}\int\limits_{0}^{1}\frac{y-x}{(x+y{)}^{3}}dy\ dx$

Text Transcription:

Integral_0^1 integral_0^1 y-x/(x+y)^3 dx dy

Integral_0^1 integral_0^1 y-x/(x+y)^3 dy dx

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