Please answer step by step.

29. Approximate the area under the graph of x} and above the x-axis with rectangles, using the following methods with n = 4. f{x}= x2 +7 from x= 2to x=2 (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts (a) and {b} (d) Use midpoints. (a) The area. approximated using the left endpoints. is (b) The area. approximated using the right endpoints, is (c) The average of the answers in parts (a) and {b} is (d) The area. approximated using the midpoints. is ID: 7.3.7 30. A booklet gives instructions for measuring the area of an irregularly shaped region. The booklet suggests measuring a long axis of the area. such as the vertical line in the figure. Then. every 10 feet along this axis, measure the width at right angles to the axis line. Sum these widths and multiply by 10. In the figure, for example, suppose the lengths of lines L1. L2. and L3 are 34 ft. 48 ft. and 30 ft. respectively. Then the area is given by the following formula. Area = (34 + 48 + 30m) = 1120 square feet How does this method relate to the discussion of calculating area? Choose the correct answer below. 0 A. This method is similar to using integration. The difference in widths can be used to approximate a function that outlines the area. then integrate each section from D to 10 ft. 0 B. This method is similar to using approximating rectangles to estimate the area under a curve. The measurements provide the heights of the rectangles and each rectangle has a width of 10 ft. 0 c. This method is similar to using an innite sum to calculate the area by breaking the shape into innitesimal slices and adding them together. ID: 7.3.23 31. Evaluate the denite integral. 2 I (5x2 6x+ 7) dx 0 2 1(5):? 6x+7)dx= u (Simplify your answer.)