Find the Most General Antiderivative $$\int \frac { x \sqrt { x } + \sqrt { x } } { x ^ { 2 } } d x$$

question 216

Multiple Choice

Find the most general antiderivative.
- $$\int \frac { x \sqrt { x } + \sqrt { x } } { x ^ { 2 } } d x$$

• A) \(- \frac { \sqrt { x } } { 2 } - \frac { 3 \sqrt { x } } { 2 } + C\)
• B) \(2 \sqrt { x } - \frac { 2 } { \sqrt { x } } + C\)
• C) \(\mathrm { C }\)
• D) \(\frac { 2 } { \sqrt { x } } - 2 \sqrt { x } + C\)

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Definitions:

Antrum

Cavity of an ovarian follicle filled with fluid containing estrogen.

Prostatic Urethra

The portion of the urethra that runs through the prostate gland, involved in the excretion of urine in males.

Seminal Vesicles

Glands in the male reproductive system that produce and secrete fluid that is a major component of semen.

Peristaltic Contractions

Wave-like muscle contractions that move food through the digestive tract.