Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f ( x ) = 4X * 2 + 2' isx5 3 lim Use this definition with right endpoints to find an expression for the area under the graph of fas a limit. Do not evaluate the limit. f(x ) = x2 +v1+ 2x, 75x59 lim Determine a region whose area is equal to the given limit. Do not evaluate the limit. Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim tan ix) lim 4//1 + 41 - 9n n-0 n tan(x) on [0, 9x] V 1 + x on [-4, 4] tan(x) on - , 9' 9] 4v 1 + x on [0, 4] x tan(x) on _ *, x] 4v 1 + x on [-4, 4] x tan(x) on 0, _ 1 + x on [0, 4] tan(x) on 0, - 4v 1 - x on [0, 4] (a) Use the definition given below with right endpo press the area under the curve y = x5 from 0 to 1 as a limit. The area A of the region S that is bou continuous function y = f(x), below by the x-axis, and on the sides by the lines x = a and x = b is the limit of the sum of the areas of approximationg rectangles. A = lim Rn = lim [(x1)Ax + Rx2lax + ... + Rxnlax] = lim Rx;lax (b) Use the following formula for the sum of cubes of the first n integers to evaluate the limit in part (a). 13+23 + 33 + ... +13 = m(n + 1)12 Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim 5 2 (9 + 21 ) 16 n - 00 y = (9 + x)15 on [0, 2] y = (9 + x)15 on [9, 11] o y = x16 on [0, 2] o y = (9 + x)16 on [0, 2] by = (9 + x)2 on [9, 11]