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

question 119

Short Answer

Use the following property of the definite integral to estimate the definite integral $\int _ { z / 6 } ^ { s / 4 } 4 \sin x d x$ :
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:

Ironic Processing

A psychological process where attempts to suppress certain thoughts make them more likely to surface.

Counterfactual Thinking

The mental process of imagining alternative scenarios and outcomes that could have happened, but didn't.

False Consensus Effect

The tendency to overestimate how much other people share our beliefs, attitudes, and behaviors.

Primacy Effect

The tendency to remember the first items in a series better than the middle or last items, indicating the impact of first impressions.