4.4 The Fundamental Theorem of Calculus

Jan 06, 2020

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4.4 The Fundamental Theorem of Calculus. Evaluating a Definite Integral. Evaluate each definite integral. A definite integral involving absolute value. Using the fundamental theorem to find area.

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4.4 The Fundamental Theorem of Calculus

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4.4 The Fundamental Theorem of Calculus
Evaluating a Definite Integral • Evaluate each definite integral.
A definite integral involving absolute value
Using the fundamental theorem to find area • Find the area of the region bounded by the graph , the x-axis, and the vertical lines x=0 and x=2.
Using Mean Value Theorem • Find the values of c guaranteed by the mean value theorem for integrals over the given interval.
Finding the Average Value of a Function • Find the average value of on the interval [1,4].
The Definite Integral as a Function • Evaluate the function at
Using the Second Fundamental Theorem of Calculus
Using the Second Fundamental Theorem of Calculus • Find the derivative of

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