Suppose Ic[-1, 1] is an interval. Define the indicator function, XI : [-1, 1]→R, by { 1, x e I 0, x ¢ I X1(x):= (1) Show that XI is Riemann integrable on [-1, 1] by using the ɛ-definition of Riemann integrability. (2) Show if a and b are the endpoints of I, then X1(x) dx = |b – a| |3D
Suppose Ic[-1, 1] is an interval. Define the indicator function, XI : [-1, 1]→R, by { 1, x e I 0, x ¢ I X1(x):= (1) Show that XI is Riemann integrable on [-1, 1] by using the ɛ-definition of Riemann integrability. (2) Show if a and b are the endpoints of I, then X1(x) dx = |b – a| |3D
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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