Use Differentiation to Determine Whether the Integral Formula Is Correct $$\int \sec ^ { 2 } \left( \frac { x - 6 } { 5 } \right) d x = - 5 \cot \left( \frac { x - 6 } { 5 } \right) + C$$

question 57

True/False

Use differentiation to determine whether the integral formula is correct.
- $$\int \sec ^ { 2 } \left( \frac { x - 6 } { 5 } \right) d x = - 5 \cot \left( \frac { x - 6 } { 5 } \right) + C$$

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Definitions:

Symmetric Data

Data that are evenly distributed around the center, showing mirror-image properties on both sides of the median.

Interquartile Range

The difference between the 75th (third quartile) and 25th (first quartile) percentiles, measuring the spread of the middle 50% of data.

Coefficient of Variation

A standardized measure of dispersion of a probability distribution or frequency distribution, expressed as a ratio of the standard deviation to the mean.

Extreme Values

Data points that significantly differ from other observations. They can be unusually high or low and may be considered outliers.