5.3 The fundamental Theory of Calculus and 5.5 U sub

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Last updated 6:14 PM on 4/22/26
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4 Terms

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FTC pt 1

suppose f(x) is continuous on [a, b] then

integral from a to b of f(x) dx = F(b) - F(a)

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FTC pt 2

A’ (x) = derivative of integral from a to x of f(t)dt

= f(x)

3
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u sub

cannot write as sum/ diff

  • u = insinde of chain rule

  • take derivative of both sides to get du

  • write original in terms of u

  • add +C and sub back x

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