Mathematics, 28.12.2019 06:31 fanta47
A. write and simplify the integral that gives the arc length of the following curve on the given integral. b if necessary, use technology to evaluate or approximate the integral. y = sin(2x) on [0, pi/2] set up the integral that gives the arc length of the curve. select the correct choice below and fill in the answer boxes to complete your choice. (type exact answers.) a. l = integral -1 to 1() dy b. l = integral 0 to pi/2 ()dx
Answers: 3
![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](/tpl/images/0435/5705/fb0e0.png)
![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](/tpl/images/0435/5705/4bd0c.png)
![\displaystyle AL = \int\limits^b_a {\sqrt{1+ [f'(x)]^2}} \, dx](/tpl/images/0435/5705/96e7d.png)
Substitute in variables [Arc Length Formula - Rectangular]: Â Â Â Â Â Â Â Â Â Â ![\displaystyle AL = \int\limits^{\frac{\pi}{2}}_0 {\sqrt{1+ [2cos(2x)]^2}} \, dx](/tpl/images/0435/5705/0aa73.png)
[Integrand] Simplify: Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 
[Integral] Evaluate: Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 
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A. write and simplify the integral that gives the arc length of the following curve on the given int...
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