Find the Integral Using the Indicated Substitution $$\int ( 4 x + 3 ) ^ { 6 } d x , \quad u = 4 x + 3$$

question 76

Multiple Choice

Find the integral using the indicated substitution. $$\int ( 4 x + 3 ) ^ { 6 } d x , \quad u = 4 x + 3$$

• A) \(\frac { 1 } { 28 } ( 4 x + 3 ) ^ { 7 } + C\)
• B) \(6 ( 4 x + 3 ) ^ { 7 } + C\)
• C) \(\frac { 1 } { 6 } ( 4 x + 3 ) ^ { 7 } + C\)
• D) \(\frac { 1 } { 7 } ( 4 x + 3 ) ^ { 7 } + C\)

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Definitions:

Null Hypothesis

A statement or assumption that indicates no effect or no difference, which the statistical test aims to reject.

Interaction

In statistics and research, it refers to a situation where the effect of one independent variable on the dependent variable differs depending on the level of another independent variable.

Profile Plot

A graphical representation of the multivariate data where each observation is represented by a plot, often used to observe patterns over time or conditions.

Main Effect

In statistics, the term refers to the primary effect of an independent variable on a dependent variable in experimental design.