Find the Indefinite Integral $$\int \left( x ^ { 2 } + 4 x - 5 \right) ^ { 2 } ( 2 x + 4 ) d x$$

question 73

Multiple Choice

Find the indefinite integral.
$$\int \left( x ^ { 2 } + 4 x - 5 \right) ^ { 2 } ( 2 x + 4 ) d x$$

• A) \(- 2 \left( x ^ { 2 } + 4 x - 5 \right) ^ { 3 } + C\)
• B) \(2 \left( x ^ { 2 } + 4 x - 5 \right) ^ { 3 } + C\)
• C) \(\left( x ^ { 2 } + 4 x - 5 \right) ^ { 3 } + C\)
• D) \(\frac { 1 } { 3 } \left( x ^ { 2 } + 4 x - 5 \right) ^ { 3 } + C\)

---

Definitions:

Gestation

The process of carrying or being carried in the womb between conception and birth, commonly referred to as the period of pregnancy.

Embryonic Disk

The platelike inner part of the blastocyst that differentiates into the ectoderm, mesoderm, and endoderm of the embryo.

Blastocyst

A stage within the germinal period of prenatal development in which the zygote has the form of a sphere of cells surrounding a cavity of fluid.

Trophoblast

The outer part of the blastocyst from which the amniotic sac, placenta, and umbilical cord develop.