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

question 40

Short Answer

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

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Definitions:

Patriarchy

A societal structure where males dominate by having the main authority, leading in political powers, exerting moral influence, enjoying social advantages, and managing ownership of assets.

Society

A large group of individuals living together in a more or less ordered community with shared laws, traditions, and values.

Gendered Institutions

The total pattern of gender relations that structure social institutions, including the stereotypical expectations, interpersonal relationships, and the different placement of men and women that are found in institutions.

Sexist Ways

Practices, attitudes, or behaviors that discriminate or devalue individuals based on their gender, often perpetuating stereotypes and undermining equality.