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Infinite intervals of integration Evaluate the following
Chapter 7, Problem 5E(choose chapter or problem)
QUESTION:
Infinite intervals of integration Evaluate the following integrals or state that they diverge.
\(\int_{1}^{\infty} x^{-2} d x\)
Questions & Answers
QUESTION:
Infinite intervals of integration Evaluate the following integrals or state that they diverge.
\(\int_{1}^{\infty} x^{-2} d x\)
ANSWER:Problem 5E
Infinite intervals of integration Evaluate the following integrals or state that they diverge.
Solution
Step 1
In this problem we have to evaluate and then we have to state whether it diverges or not.
Consider
By using we get
Substituting the limits we get,
Now considering we get