Practice Final 1 Part 2

22 thelengthofonearchofthecurvey 3sin2xisgivenby 2 l 1

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Unformatted text preview: mpsonʹs Rule with n = 4 steps to estimate the integral. 0 sin x dx 21) -π ∫ 19) 20) 21) Solve the problem. 22) The length of one arch of the curve y = 3 sin 2x is given by π/2 L = 1 + 36cos2 2x dx 0 Estimate L by the Trapezoidal Rule with n = 6. 22) ∫ Evaluate the improper integral or state that it is divergent. ∞ 1 dx 23) 2 + 4) x(x 1 23) Evaluate the improper integral. 9 dx 24) 81 - x2 0 24) ∫ ∫ 25) ∫ 6 x ln6x dx 25) 0 Determine whether the improper integral converges or diverges. ln 6 26) x- 3 e1/x2 dx 0 ∫ 27) ∫ 0 π/2 sin t dt t 26) 27) Find the length of the curve. 1 1 28) y = x3 + from x = 1 to x = 4 6 2x 29) y = ∫ x t2 - 1 dt , 4 ≤ x ≤ 7 28) 29) 1 Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis. 30) 30) y = cotx, 0 ≤ x ≤ π/4; x- axis 31) xy = 3 , 1 ≤ y ≤ 2; y- axis Find the area of the surface generated by revolving the curve about the indicated axis. 32) y = 4x - x2 , 0.5 ≤ x ≤ 1.5; x- axis 33) x = 3 4 - y, 0 ≤ y ≤ 15/4; y- axis Find the center of mass of a thin pla...
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This document was uploaded on 03/17/2014 for the course MATH 185 at Orange Coast College.

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