Find the Indefinite Integral $\int \frac { x ^ { 2 } } { x - 5 } d x$

question 21

Multiple Choice

Find the indefinite integral. $\int \frac { x ^ { 2 } } { x - 5 } d x$

• A) \(\frac { x ^ { 2 } } { 2 } + 5 x + ( x + 1 ) \ln ( x - 5 ) + C\)
• B) \(\frac { x ^ { 2 } } { 3 } + x + 25 \ln ( x - 5 ) + C\)
• C) \(\frac { x ^ { 2 } } { 2 } - x - 25 \ln ( x + 5 ) + C\)
• D) \(\frac { x ^ { 2 } } { 3 } + 5 x - 25 \ln ( x - 5 ) + C\)
• E)\(\frac { x ^ { 2 } } { 2 } + 5 x + 25 \ln ( x - 5 ) + C\)

---

Definitions:

Regretted

Having felt sorrow, disappointment, or dissatisfaction about something that one wishes could have been different.

Sexually Active

Engaging in sexual behavior or activities, often implying regular involvement in sexual intercourse or activities.

Religious Engagement

Active participation and involvement in practices, beliefs, rituals, and community activities associated with a particular faith or religion.

Intelligence

The capacity to learn, understand, and apply knowledge, to solve problems, and to adapt to new situations.