Use the trapezoidal rule with n = 5 to approximate |2x- dx and use the fundamental theorem of calculus to find the exact value of the definite integral. The approximate value of the integral from the trapezoidal rule is (Simplify your answer.) The exact value of the definite integral is (Simplify your answer.)Use the trapezoidal rule with n = 3 to approximate 14 + x* dx. . . . T3 = (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)Use a table of integrals or other techniques to solve the following indefinite integral. X -dx x- - 49 Click the icon to view a brief table of integrals. X -dx = x2 - 49Use substitution techniques and a table of integrals to find the indefinite integral. ex (4 + ex ) (8+3 ex) -dx Click the icon to view a brief table of integrals. PX (4 + ex) (8+3ex ) -dx =A company manufactures downhill skis. It has fixed costs of $26,000 and a marginal cost given by C'(x) =- 250 + 10x 1 + 0.05x y, where C(x) is the total cost at an output of x pairs of skis. Use a table of integrals to find the cost function C(x) and determine the production level (to the nearest unit) that produces a cost of $175,000. What is the cost (to the nearest dollar) for a production level of 800 pairs of skis? Click the icon to view a brief table of integrals. C(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) The production level that produces a cost of $175,000 is approximately pairs of skis. (Round to the nearest whole number as needed.) The cost for a production level of 800 pairs of skis is approximately $ (Round to the nearest dollar as needed.)