Evaluate the Integral by Making a Substitution (Possibly Trigonometric) and Then

question 89

Multiple Choice

Evaluate the integral by making a substitution (possibly trigonometric) and then applying a reduction formula.
- $$\int _ { 0 } ^ { 1 } 5 \sqrt { x ^ { 2 } + 1 } d x$$

• A) \(\frac { 5 } { 2 } [ \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) ]\)
• B) \(5 [ \sqrt { 2 } + \ln ( \sqrt { 2 } + 1 ) ]\)
• C) \(\sqrt { 2 } + \ln ( \sqrt { 2 } + 1 )\)
• D) \(5 [ \sqrt { 2 } - \ln ( \sqrt { 2 } + 1 ) ]\)

---

Definitions:

Implicit Memory

A type of memory that enables people to perform tasks without conscious awareness of the previous experiences influencing those tasks.

Serial Position Effect

A cognitive phenomenon where items at the beginning and end of a list are more easily recalled than items in the middle.

LTP

Long-Term Potentiation refers to the durable increase in signal transmission strength between two neurons, achieved through their simultaneous stimulation.

Neural Process

The physiological activities through which neurons communicate, leading to brain functions such as thought, memory, and sensation.