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4.4 The Fundamental Theorem of Calculus
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Evaluating a Definite Integral
Evaluate each definite integral.
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A definite integral involving absolute value
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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.
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Using Mean Value Theorem
Find the values of c guaranteed by the mean value theorem for integrals over the given interval.
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Finding the Average Value of a Function
Find the average value of on the interval [1,4].
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The Definite Integral as a Function
Evaluate the function at
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Using the Second Fundamental Theorem of Calculus
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Using the Second Fundamental Theorem of Calculus
Find the derivative of
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