Let $f ( x ) = \int _ { 1 } ^ { x ^ { 2 } } \frac { 4 - u } { \sin u + 2 } d u$

question 164

Essay

Let $f ( x ) = \int _ { 1 } ^ { x ^ { 2 } } \frac { 4 - u } { \sin u + 2 } d u$ Find the interval(s) on which $f ( x )$ is increasing.

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Definitions:

Left-brained

Referring to a person who is more analytical, logical, and detail-oriented, traditionally thought to be associated with the left hemisphere of the brain.

Right-brained

Pertaining to the cognitive style thought to be characteristic of the brain's right hemisphere, often associated with creativity, intuition, and holistic thinking.

Stadium Seating

A seating arrangement designed to give spectators in stadiums an unobstructed view of the event by arranging seats in ascending rows.

Risk-taking

The action of engaging in activities that involve uncertainty or danger, often with the hope of achieving a positive outcome.