Given g(x) =1/x^-3, Sketch the graph for g(x) and find the total area between the curve g(x) and x-axis. Explain if necessary and provide reason if the questions cannot be solved.

Given gx 1x3 Sketch the graph for gx and find the total area between the curve gx and xaxis Explain if necessary and provide reason if the questions cannot be s class=


Answer :

Given:

[tex]g\mleft(x\mright)=\frac{1}{x^3}[/tex]

Required:

Sketch the graph for g(x) and find the total area between the curve g(x) and x-axis. Explain if necessary and provide a reason if the question cannot be solved.

Explanation:

The given function is:

[tex]g(x)=\frac{1}{x^{3}}[/tex]

We can observe from the graph that there is no bounded area between the graph of the function and the x-axis.

To find the area between the x-axis and the curve the area should be bound with the x-axis.

So the area of the given function can not be calculated.

Final answer:

The question can not be solved because there is no bounded area between the graph of the function and the x-axis.

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