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Determine which value best approximates the length of the arc represented by the integral ∫_0^1 √1 + [d/dx(4/x+1)]² dx.
(Make your selection on the basis of a sketch of the arc and not
by performing any calculations.)
(a) 10
(b) -5
(c) 2
(d) 4
(e) 1

Respuesta :

okpalawalter8

Answer:

Option C

Step-by-step explanation:

From the question we are told that:

Length of arc integral

[tex]l=\int_0^1 \sqrt{1 + [\frac{d}{dx}(\frac{4}{x+1})]^2 dx}[/tex]

The Sketch is attached below

From the Graph

Approximation gives length of arc as

[tex]l=\sqrt{5}[/tex]

[tex]l=2[/tex]

Option C

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