Solved: Approximation In Exercises 27 and 28, determine which value best approximates
Chapter 7, Problem 28(choose chapter or problem)
Approximation In Exercises 27 and 28, determine which value best approximates the length of the arc represented by the integral. (Make your selection on the basis of a sketch of the arc, not by performing any calculations.)
\(\int_{0}^{\pi / 4} \sqrt{1+\left[\frac{d}{d x}(\tan x)\right]^{2}} d x\)
(a) 3
(b) -2
(c) 4
(d) \(\frac{4 \pi}{3}\)
(e) 1
Text Transcription:
Int_0^pi/4 sqrt 1 + [d/dx (tan x)]^2 dx
4 pi/3
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