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use the arc length formula to find the length of the curve. F x x 1 2 x steps can be seen here Finally calculate the integral L 0 2 1 2 x 2 1 d x 0 2 4 1 x 2 d x. L th C 2p.
Your Calculus Bc Students Need To Find The Arc Length Of A Smooth Curve This Complete Lesson Provides Guided Notes Homew Calculus Ap Calculus We Are Teachers from www.pinterest.com
Instead just find the straight-line distance between the points 2f 2 2 7 and 1f 1 1 1. Check your answer by noting that the curve is a line segment and calculating its length by the distance formula. S ba1 f x2 dxThe Arc Length Formula.
The calculations and the answer for the integral can be seen here.
The arc length is then given by. Differentiate Equation 1 with respect to x. In this section we use definite integrals to find the arc length of a curve. Added Mar 1 2014 by Sravan75 in Mathematics.
