Evaluate the Given Integral $$\int _ { 0 } ^ { 1 / 7 } \frac { 1 } { 1 + 49 x ^ { 2 } } d x$$

question 27

Multiple Choice

Evaluate the given integral.
$$\int _ { 0 } ^ { 1 / 7 } \frac { 1 } { 1 + 49 x ^ { 2 } } d x$$

• A) \(\frac { \pi } { 35 }\)
• B) \(\frac { \pi } { 21 }\)
• C) \(\frac { \pi } { 14 }\)
• D) \(\frac { \pi } { 28 }\)

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Definitions:

Causality

The relationship between cause and effect where one variable causes the change in another.

Multiple Regression

An approach in statistics where multiple predictors are used to estimate the outcome of a target variable.

Path Analysis

A specialized type of structural equation modeling used to describe directed dependencies among a set of variables, suitable for analyzing complex causal relationships.

Causality

The concept that an event (the cause) directly leads to another event (the effect) through a causal relationship.