Calculus I Exam 4

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Last updated 3:01 PM on 4/17/26
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7 Terms

1
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Define Antiderivatives

A function F(x) is an antiderivative of f(x) if F’(x) = f(x)

  • The most General antiderivative is F(x) + C

2
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State the limit definition of a Riemann Sum and the expressions to find its components

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3
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Know how to find left handed vs right handed vs (midpoint) riemann sums

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4
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Definition of a Definite Integral?

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5
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State Part 1 of FTC

If function f is continuous on [a,b],

then the integral from a → x is = g(x)

WHERE:

g(x) is also continuous on [a,b],

differentiable on (a,b)

and g’(x) = f(x)

<p>If function f is continuous on [a,b],</p><p></p><p>then the integral from a → x is = g(x)</p><p>WHERE:</p><p>g(x) is also continuous on [a,b],</p><p>differentiable on (a,b)</p><p>and g’(x) = f(x)</p><p></p>
6
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State Part 2 of FTC

If f is continuous on [a, b], then:

<p>If f is continuous on [a, b], then:</p>
7
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Properties of definite integrals

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