Let G be the rectangular box defined by the inequalitiesa x b, c y d, k z l. Show
Chapter 14, Problem 31(choose chapter or problem)
Let be the rectangular box defined by the inequalities \(a \leq x \leq b, c \leq y \leq d, k \leq z \leq l\). Show that
\(\iiint_{G} f(x) g(y) h(z) d V=\left[\int_{a}^{b} f(x) \underset{c}{d x}\right]\left[\int_{c}^{d} g(y) d y\right]\left[\int_{k}^{l} h(z) d z\right]\)
Equation Transcription:
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Text Transcription:
a <= x ≤ b, c <= y <= d, k <= z <= l
Integral integral integral_Gf(x)g(y)h(z) dV=[integral_a^b f(x)dx][integral_c^d g(y)dy][integral_k^l h(z)dz]
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