Example 1:



EXAMPLE

Step 1: Use the Fundamental Theorem to find the finite area below [pic]

over the interval [3, b].

Step 2: Determine what happens to the area as [pic].

Conclusion: We say that the improper integral [pic] diverges. There is an infinite amount of area under the graph.

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Practice:

Use the Fundamental Theorem to find the finite area below [pic] over the interval [0, b].

Determine what happens to the area as [pic].

State a conclusion.

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b

3

[pic]

[pic]

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