5. (5.2) Let f(:1:) = a: + %:r2. For this problem, reference the example at the end of 5.1 lecture notes and the example at the beginning of 5.2 lecture notes (a) Use left endpoints to sketch 4 rectangles approximating the area under f (53) on the interval [1, 3]. Compute the sum of the areas of the rectangles. Repeat with 8 rectangles. (b) Use right endpoints to sketch 4 rectangles approximating the area under f (3:) on the interval [1, 3]. Compute the sum of the areas of the rectangles. Repeat with 8 rectangles. (c) Next, we want to use n rectangles to approximate the area under the curve of f (3:) from [1, 3] using right endpoints. Use sigma notation and known formulas to write an expression in terms of n for the sum of the area under n rectangles. Then, take the limit as n > 00 to nd the area under the curve