Evaluate the Integral $\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } } { \left( 5 + 3 x ^ { 3 } \right) ^ { 2 } }$

question 43

Multiple Choice

Evaluate the integral.
- $\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } } { \left( 5 + 3 x ^ { 3 } \right) ^ { 2 } }$ dx

• A) \(\frac { 43 } { 3 }\)
• B) \(\frac { 1 } { 120 }\)
• C) \(\frac { 13 } { 6 }\)
• D) \(\frac { 27 } { 40 }\)

---

Definitions:

Fourth-grade Class

A level of elementary education typically for children around nine to ten years old, focusing on subjects like mathematics, science, and language arts.

Short-term Memory

A part of the memory system where small amounts of information can be stored for a short period of time, typically seconds to minutes.

Social Security Number

A unique, nine-digit number assigned to U.S. citizens and eligible residents, used for tracking earnings and benefits within the social security system.

Paired Associates

A learning method where items are learned in linked pairs so that when one item of a pair is presented, the other can be recalled.