Compute $\int_{0}^{R} \frac{1}{(3+x)^{2}} d x$
A) $\frac{1}{3+R}$ B) $\frac{1}{3}-\frac{1}{3+R}$ C) $\frac{1}{3(3+R)^{3}}$ D) $\frac{3}{R^{3}}-\frac{3}{(3+R)^{3}}$

question 154

Multiple Choice

Compute $\int_{0}^{R} \frac{1}{(3+x) ^{2}} d x$ .

• A) \(\frac{1}{3+R}\)
• B) \(\frac{1}{3}-\frac{1}{3+R}\)
• C) \(\frac{1}{3(3+R)^{3}}\)
• D) \(\frac{3}{R^{3}}-\frac{3}{(3+R)^{3}}\)

---

Definitions:

Short-term Storage

Involves the temporary holding of information for brief periods, typically from seconds to minutes, allowing for immediate recall and processing.

Semantic Encoding

The process of converting information into meaningful concepts to be stored in memory.

Working Memory

A cognitive system that holds and manipulates information in short-term memory for reasoning and guidance of decision-making and behavior.

Maintenance Rehearsal

Using working memory processes to repeat information based on how it sounds (auditory information); provides only shallow encoding of information and less successful long-term storage.