Evaluate the Integral $$\int _ { 1 } ^ { \sqrt { 2 } } x 8 ^ { x ^ { 2 } } d x$$

question 54

Multiple Choice

Evaluate the integral.
- $$\int _ { 1 } ^ { \sqrt { 2 } } x 8 ^ { x ^ { 2 } } d x$$

• A) \(\frac { 8 } { \ln 8 }\)
• B) \(\frac { 28 } { \ln 8 }\)
• C) \(\frac { 8 \sqrt { 2 } - 8 } { 2 \ln 8 }\)
• D) 28

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Definitions:

Standard Deviations

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from their mean.

Mean

The mathematical average of a set of numbers, calculated by dividing the sum of these numbers by the count of the numbers.

IQ Test

A standardized assessment designed to measure human intelligence and cognitive abilities in relation to an average population.

Standard Deviations

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from their mean, indicating how spread out the data points are.