Express $\int _ { 4 } ^ { 64 } [ \sin ( \pi x ) ] d x$

question 161

Essay

Express $\int _ { 4 } ^ { 64 } [ \sin ( \pi x ) ] d x$ as the limit of a sum.

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Definitions:

Survey

A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights on various topics of interest.

Double-Blind Control

A study or experiment design in which neither the participants nor the experimenters know who is receiving a particular treatment, to prevent bias.

Experimenter Bias

A form of bias introduced into a study's results due to the experimenter's expectations, attitudes, or behavior affecting the subjects' performance or responses.

Independent Variable

The factor in a study that the investigator alters to examine its impact on the outcome variable.