Decide Whether Each Integral Converges $\int _ { 0 } ^ { + \infty } \sin ( 2 x ) \mathrm { d } x$

question 33

Multiple Choice

Decide whether each integral converges. If the integral converges, compute its value.
Choose the correct letter for each question.

-diverges

• A)\(\int _ { 0 } ^ { + \infty } \sin ( 2 x ) \mathrm { d } x\)
• B)\(\int _ { 0 } ^ { + \infty } e ^ { - 2 x } \sin ( 2 x ) \mathrm { d } x\)

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Definitions:

Sample

A subset of a larger population selected for measurement or observation, intended to represent the larger group.

Standard Deviation

Standard deviation is a measure that quantifies the amount of variance or dispersion of a set of data values, indicating how much the values differ from the mean of the set.

σ

The symbol representing the standard deviation in statistics, a measure of the amount of variation or dispersion in a set of values.

Dispersion

A statistical measure that describes the spread of or variation in a set of data values.