Use Long Division to Evaluate the Integral $$\int \frac { x ^ { 2 } } { x + 7 } d x$$

question 69

Multiple Choice

Use long division to evaluate the integral.
$$\int \frac { x ^ { 2 } } { x + 7 } d x$$

• A) \(\frac { 1 } { 2 } ( x - 21 ) ( x + 7 ) + 49 \ln | x + 7 | + C\)
• B) \(\frac { 1 } { 2 } ( x + 21 ) ( x + 7 ) - 49 \ln | x + 7 | + C\)
• C) \(\frac { x ^ { 2 } } { 2 } - 14 x - 147 + \ln | x + 7 | + C\)
• D) \(\frac { x ^ { 2 } } { 2 } - 14 x + 147 + 49 \ln | x + 7 | + C\)
• E) \(\frac { x ^ { 2 } } { 2 } + 2 x + \ln | x + 49 | + C\)

Understand the role of social comparison in shaping self-esteem and body image.

Grasp the theoretical frameworks explaining the objectification and evaluation of women in society.

Explain the concepts of stereotype threat and its implications for behavior and self-perception.

Examine the depiction of women of color and the stereotypes associated with them in media.

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Definitions:

Learned Behavior

Behavior that individuals acquire through interaction with the environment and through the experience of or observing others in their social contexts.

Sociability

The trait of being inclined to engage in social interactions and form relationships with others.

Predominant Style

The most common or authoritative style or approach in a particular area or activity.

Intensity

The degree of strength, force, or energy with which an action is performed or an attribute is possessed.