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.
-----------------------
b
3
[pic]
[pic]
................
................
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