Find the Indefinite Integral $$\int \frac { 2 x ^ { 7 } - 5 x ^ { 4 } + 2 } { x ^ { 7 } } d x$$

question 11

Multiple Choice

Find the indefinite integral.
$$\int \frac { 2 x ^ { 7 } - 5 x ^ { 4 } + 2 } { x ^ { 7 } } d x$$

• A)
• \(2 x + \frac { 5 } { 4 x ^ { 4 } } - \frac { 1 } { 4 x ^ { 8 } } + C\)
• B) \(2 x + \frac { 5 } { 2 } x ^ { 2 } - \frac { 1 } { 3 } x ^ { 6 } + C\)
• C) \(2 x + \frac { 5 } { 4 } x ^ { 4 } - \frac { 1 } { 4 } x ^ { 8 } + C\)
• D) \(2 x + \frac { 5 } { 2 x ^ { 2 } } - \frac { 1 } { 3 x ^ { 6 } } + C\)

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Definitions:

Inequality

A mathematical statement that indicates a non-equal relationship between two expressions.

Plotting

The action of marking points on a graph based on coordinates or a function.

Quadrant

One of the four sections of the coordinate plane, each bounded by two axes.

Coordinate System

A system for specifying the precise location of points in space using numbers, often represented on a graph as horizontal and vertical axes.