Exercise 1. Assume f : [a, b] ! R is integrable. (a) Show that if g satisfies g(x) = f(x) for all but a finite number of points in [a, b], then g is integrable as well. What is the integral of g? (b) Find an example to show that g may fail to be integrable if it di↵ers from f at a countable number of points.

Step-by-step explanation:

Check attachment for solution

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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