?Let F, G, and H be differential functions on [a, b], [c, d], and [e,f], respectively
Chapter 5, Problem 190(choose chapter or problem)
Let F, G, and H be differential functions on [a, b], [c, d], and [e,f], respectively, where a, b, c, d, e, and f are real numbers such that a < b, c < d, and e < f. Show that
\(\int_{a}^{b} \int_{c}^{d} \int_{e}^{f} F^{\prime}(x) G^{\prime}(y) H^{\prime}(z) d z d y d x=[F(b)-F(a)][G(d)-G(c)][H(f)-H(e)]\)
Text Transcription:
\int_{a}^{b} \int_{c}^{d} \int_{e}^{f} F^{\prime}(x) G^{\prime}(y) H^{\prime}(z) d z d y d x=[F(b)-F(a)][G(d)-G(c)][H(f)-H(e)]
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