Use the Following Property of the Definite Integral to Estimate $\int _ { x / 6 } ^ { x / 4 } 6 \sin x d x$

question 104

Short Answer

Use the following property of the definite integral to estimate the definite integral $\int _ { x / 6 } ^ { x / 4 } 6 \sin x d x$ :
If $m \leq f ( x ) \leq M$ on $[ a , b ]$ , then
$$m ( b - a ) \leq \int _ { a } ^ { b } f ( x ) d x \leq M ( b - a )$$

Understand the correct use of adjectives and adverbs in sentences.

Distinguish between adjectives and adverbs in varying contexts.

Identify the correct form of adjectives and adverbs for comparison.

Recognize the use of adjectives and adverbs in historical and factual contexts.

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.