Use a Table of Integrals to Find the Indefinite Integral $\int ( \ln 3 x ) ^ { 2 } d x$

question 35

Multiple Choice

Use a table of integrals to find the indefinite integral $\int ( \ln 3 x ) ^ { 2 } d x$ .

• A) \(x \left[ 2 - 2 \ln ( 3 x ) + ( \ln 3 x ) ^ { 2 } \right] + C\)
• B) \(x \left[ 2 \ln ( 3 x ) + ( \ln 3 x ) ^ { 2 } \right] + C\)
• C) \(3 x \left[ 2 + 2 \ln ( 3 x ) + ( \ln 3 x ) ^ { 2 } \right] + C\)
• D) \(x [ 2 - 2 \ln ( 3 x ) - ( \ln 3 x ) ] ^ { 2 } + C\)
• E) \(3 x [ 2 \ln ( 3 x ) + ( \ln 3 x ) ] ^ { 2 } + C\)

---

Definitions:

Mixed Seeds

are a combination of different types of seeds, often used in agriculture or gardening to produce a variety of plants or as a food source for birds and other animals.

Genetic Differences

Variations in the genes among individuals or populations which contribute to their unique physical or behavioral characteristics.

Within-group Heritability

The proportion of variance in a trait within a specific group that can be attributed to genetic differences among individuals within that group.

Visuospatial Thinking

The cognitive process involved in solving problems using visual and spatial reasoning, like reading maps or creating images in one's mind.