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The integral in this exercise converges; evaluate the integral without using a table.

A) Definite Integrals
B) Improper Integrals
C) Integration by Parts
D) Trigonometric Integrals

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Final answer:

The subject of this question is Improper Integrals. To evaluate an improper integral, we need to determine whether it converges or diverges. We can use a variety of methods to evaluate the integral based on the behavior of the function being integrated.

Step-by-step explanation:

The subject of this question is Improper Integrals. Improper integrals are defined as integrals where either the limits of integration are infinite or the function being integrated is unbounded at one or more points in the interval of integration. In order to evaluate an improper integral, we need to determine whether it converges or diverges.

To evaluate the integral, we can use a variety of methods, such as the comparison test, the limit comparison test, or the direct comparison test. It is essential to analyze the behavior of the function being integrated and determine the appropriate approach.

In this specific case, since the integral converges, we can proceed to evaluate it using appropriate techniques like integration by parts, trigonometric integrals, or other methods based on the specific function involved.

User Jim Buck
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