Solved: Let be convergent and let and be real numbers where Show that a fx dx a fx dx b
Chapter 8, Problem 120(choose chapter or problem)
Let \(\int_{-\infty}^{\infty} f(x)\) be convergent and let a and b be real numbers
where \(a \neq b\). Show that
\(\int_{-\infty}^{a} f(x) d x+\int_{a}^{\infty} f(x) d x=\int_{-\infty}^{b} f(x) d x+\int_{b}^{\infty} f(x) d x\).
Text Transcription:
int_-infty^infty f(x)
a neq b
int_-infty^a f(x) dx+int_a^infty f(x) dx=int_-infty^b f(x) dx+int_b^infty f(x) dx
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