Question: FTC I asserts that Use FTC II to give a new proof of FTC I as follows. So f(t) dt = F(b) - F(a)

FTC I asserts that  So f(t) dt = F(b) - F(a) if F'(x) = f(x). a Use FTC II to give a new proof of FTC I as follows. Set A(x) = f(t) dt. Ja

(a) Show that F(x) = A(x) + C for some constant. S (b) Show that F(b)- F(a) = A(b) - A(a) = f(t) dt.

So f(t) dt = F(b) - F(a) if F'(x) = f(x). a

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