The area between the graph of the function and the axis over the interval is (a) Find
Chapter 4, Problem 96(choose chapter or problem)
Area The area between the graph of the function \(g(t)=4-4 / t^{2}\) and the t-axis over the interval [1,x] is
\(A(x)=\int_{1}^{x}\left(4-\frac{4}{t^{2}}\right) d t\)
(a) Find the horizontal asymptote of the graph of g.
(b) Integrate to find as a function of x. Does the graph of A have a horizontal asymptote? Explain.
Text Transcription:
g(t)=4-4 / t^{2}
A(x)=\int_{1}^{x}\left(4-\frac{4}{t^{2}}\right) d t
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