Find $\int \frac{4 x+1}{4 x^{2}+4 x} d x$
A) $\frac{3}{4} \ln |x|+\frac{1}{4} \ln |x+1|+C$

question 55

Multiple Choice

Find $\int \frac{4 x+1}{4 x^{2}+4 x} d x$ .

• A) \(\frac{3}{4} \ln |x|+\frac{1}{4} \ln |x+1|+C\)
• B) \(\frac{1}{4} \ln |x|+\frac{3}{4} \ln |x+1|+C\)
• C) \(\frac{3}{4} \ln |x|+\frac{1}{4} \ln |x+1|+C\).
• D) \(\ln |x|+\frac{1}{4} \ln |x+1|+C\)

---

Definitions:

Fetus

A developing human from roughly eight weeks after conception to the moment of birth.

Premature Birth

The birth of a baby before the standard period of pregnancy is completed, typically before 37 weeks of gestation, which may lead to several health challenges for the infant.

Germinal

Referring to the earliest stage of development after fertilization, when the organism is a rapidly dividing mass of cells.

Embryonic

Referring to the early stages of development within the womb, from conception to the eighth week of pregnancy.