Mathematics, 04.01.2020 06:31 maddy1854
Write and simplify the integral that gives the arc length of the following curve on the given interval b. if necessary, use technology to evaluate or approximate the integral. y: 31n x, for 2sxs5 a. the integral that gives the arc length of the curve is l dx & the arc length of the curve is approximately (round to three decimal places as needed.)
Answers: 3
![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](/tpl/images/0442/2274/4bc1d.png)
![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](/tpl/images/0442/2274/4bd0c.png)
![\displaystyle AL = \int\limits^b_a {\sqrt{1+ [f'(x)]^2}} \, dx](/tpl/images/0442/2274/96e7d.png)
Substitute in variables [Arc Length Formula - Rectangular]: ![\displaystyle AL = \int\limits^5_2 {\sqrt{1+ [\frac{3}{x}]^2}} \, dx](/tpl/images/0442/2274/647d1.png)
[Integrand] Simplify: 
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Write and simplify the integral that gives the arc length of the following curve on the given interv...
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