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PROBLEM 3: (Integration 2) The rate at which pollution escapes a scrubbing process at a manufacturing plant increases over time as filters and other technologies become less effective. Assume that the rate of pollution (in tons per week) is given by the function r(t) shown in the graph below. Write a definite integral whose value is the exact amount of pollution that escapes the manufacturing plant from time t = 0 weeks to time t = 4 weeks. Please be sure to include all of the parts of the definite integral notation. Use the graph below and a (right hand) Riemann sum with eight subintervals to estimate the amount of pollution that escapes the manufacturing plant from time t = 0 weeks to time t = 4 weeks. Please include the units in your answer. tons/week y=r(t) PROBLEM 4: (Integration 1) Compute the following indefinite integrals. Don't forget the + C . A AR )P I I LY i f(7x_2 FRE T T iv. f7csczx 10" + dx r e