Use a Table of Integrals to Evaluate the Integral $$\int x \sqrt { 2 + 2 x } d x$$

question 73

Multiple Choice

Use a table of integrals to evaluate the integral.
$$\int x \sqrt { 2 + 2 x } d x$$

• A) \(\frac { 2 \sqrt { 2 } } { 15 } ( 2 x - 1 ) ( x + 1 ) ^ { 3 / 2 } + C\)
• B) \(\frac { 2 \sqrt { 2 } } { 15 } ( 3 x - 2 ) ( x + 1 ) ^ { 3 / 2 } + C\)
• C) \(\frac { 2 } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C\)
• D) \(\frac { 2 \sqrt { 2 } } { 15 } ( 3 x - 2 ) \sqrt { x + 1 } + C\)

---

Definitions:

Bipolar Disorder

A mental health condition characterized by extreme mood swings, including emotional highs (manic or hypomanic episodes) and lows (depression).

Adult Medications

Medications that are specifically dosed and managed for adults, considering the differences in metabolism, body size, and drug sensitivity compared to children.

Cognitive-behavioral Therapy

A form of psychotherapy that emphasizes the importance of underlying thoughts in determining how we feel and behave, aiming to change negative patterns of thinking or behavior to combat psychological issues.

Family Therapy

Family therapy is a type of psychological counseling that helps family members improve communication and resolve conflicts.