3,4

Consider the following definition. Definition The area A of the region S that is bounded above by the graph of a 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 [f(x, )Ax + . . . + f(x2) Ax + . . . + f(x,)4x] = lim > f(x, )4x Use the given definition to find an expression for the area A of the region bounded above by the graph of f and below by the x-axis over the interval indicated. Do not evaluate the limit. f ( x) = x2 + V1 + 2x, 35x5 5 lim 1 - co Submit Answer 4. [-/5 Points] DETAILS SCALCCC5 5.1.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim 8 1 + 81 1=1 O 8v 1 + x on [0, 8] O V1 + x on [-8, 8] O 8V1 - x on [0, 8] O 8\\1 + x on [-8, 8] O V1 + x on [0, 8]