1. Estimate S 2* dx using the average of the left- and right- hand sums and n = 6. 2. Use the graph of f (x) to find the definite integrals. a. Sof (x) dx = f(x) 70 T 60 b. S f ( x ) dx = 50 40 c. Sof (x) dx = 30 20 10 d. Sof(x) dx = 0 1 x 5 6 7 8 3. Use a calculator to evaluate the following integral.4. A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 AM and increases steadily to about 280 m3/hr at 9 AM. Using only this information, give your best estimate of the total volume of water used by the factory between 6 AM and 9 AM. (Be sure to include units in your answer!)