23. If f is continuous and a < b, then integral (a,b) f(x) dx = ?Integral (b,a)

Question

23. If f is continuous and a < b, then integral (a,b) f(x) dx = ?Integral (b,a) f(x) dx.

24.Integral (a,a) f(x) dx = 0.

25.Integral (b,a) c dx = c(b ? a), where c is any constant.

26. If f is continuous on an interval containing a, b, and c, then Integral (b,a) f(x) dx =Integral (c,a) f(x) dx ? Integral (c,b) f(x)dx.

27. If Integral ( b,a) f(x) dx >_ 0, then f(x) >_0 on [a, b].

28. d/dx Integral (x,a) f(t) dt = f(x), where f is a continuous function.

29. To check whether the general indefinite integral that you calculated is correct, simply take its derivative anddetermine if you end up with the integrand that you started with.

Explanation / Answer

23) true

24) true

25) true

26) true

27) true

28) true

29) true

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