Answer: Area The area between the graph of the function and the axis over the interval
Chapter 5, Problem 100(choose chapter or problem)
The area A between the graph of the function
g(t)=4-\frac{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 A as a function of x. Does the graph of A have a horizontal asymptote? Explain.
Text Transcription:
g(t)=4-\frac 4 t^2
[1, x]
A(x)=\int_1^x(4-\frac 4 t^2) d t
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