Question

Determine which value best approximates the length of the arc represented by the integral ∫_0^1 √1 + [d/dx(4/x+1)]² dx.

Answer 1

Answer:

Option C

Step-by-step explanation:

From the question we are told that:

Length of arc integral

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

The Sketch is attached below

From the Graph

Approximation gives length of arc as

$l=\sqrt{5}$

$l=2$

Option C