Let Ln denote the left-endpoint sum using n subintervals and let R, denote the corresponding right-endpoint...
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Let Ln denote the left-endpoint sum using n subintervals and let R₁, denote the corresponding right-endpoint sum. In the following exercises, compute the indicated left and right sums for the given functions on the indicated interval. 12. L4 for f'(x)=¹ on [2,3] 13. R₁ for g(x) = cos(xx) on [0, 1] In the following exercises, express the limits as integrals. 62. lim sin² (2x Ax over [0, 1] n i=1 In the following exercises, evaluate the integral using area formulas. √√4-(x-3)³dx 78. (3-Lx) (3-LxD)dx 81. Let Ln denote the left-endpoint sum using n subintervals and let R₁, denote the corresponding right-endpoint sum. In the following exercises, compute the indicated left and right sums for the given functions on the indicated interval. 12. L4 for f'(x)=¹ on [2,3] 13. R₁ for g(x) = cos(xx) on [0, 1] In the following exercises, express the limits as integrals. 62. lim sin² (2x Ax over [0, 1] n i=1 In the following exercises, evaluate the integral using area formulas. √√4-(x-3)³dx 78. (3-Lx) (3-LxD)dx 81.
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Answer 12 To compute L for fx 1x 1 on 2 3 we divide the interval 2 3 into four subintervals of equal width x 3 2 4 14 The left endpoints of the subintervals are x 2 x 2 x 2 14 94 x 2 2x 2 214 104 52 x ... View the full answer
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