Graphing a Function Defined Using a Definite Integral
Graphing a Function Defined Using a Definite Integral
2:13 Graph of f(t)= t^2 - 1
2:36 g(x) = The Definite Integral of f(t) with Respect to t from t=0 to t=x
3:32 Interpreting g Graphically as the Area Between the Graph of f and the t-Axis on the Interval Between the Limits of Integration
3:49 Evaluating g(1) Graphically
5:45 Evaluating g(1) Using the Fundamental Theorem of Calculus
7:55 Evaluating g(2) Graphically
11:59 Evaluating g(2) Using the Fundamental Theorem of Calculus
12:22 Evaluating g(3) Graphically
14:09 Evaluating g(3) Using the Fundamental Theorem of Calculus
14:32 Evaluating g(0)
14:51 Evaluating g(-1) Graphically
16:34 Evaluating g(-1) Using the Fundamental Theorem of Calculus
16:53 A Table of Values for g & Using it to Sketch the graph of g
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20:33 h(x)= The Definite Integral of f(t) with Respect to t from t=0 to t=3x
21:22 Finding h'(x) Using the Second Fundamental Theorem of Calculus & the Chain Rule
22:29 Find h'(2)
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