Calc Exam #3
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Last updated 10:22 PM on 4/30/26
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5 Terms
1
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Net Change Theorem
Integral(a—>b) F’(t) dt = F(b) - F(a)
2
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Another formation of Net Change Theorem
F(b) = F(a) + Integral(a—>b) F’(t) dt
3
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FTC part 1
d/dx Integral(a → x) ft dt = f(x)
4
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FTC part 1 rewritten
[Integral(a → x) ft dt]’ = [F(x)-F(a)]’ = F’(x) - F’(a) = F’(x) = f(x)
5
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FTC Part 2
Integral(a —> b) f(x) dx = F(b) - F(a)