MA 125 Midterm: MA125_Cal_I_15_Spring-test-3 Spring 2015
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Show all your work and justify your answer! No partial credit will be given for the answer only! All problems in part i are 7 points each: if f (x) = r x. 2 t3 + 1 dt, nd the derivative f (x): use a riemann sum with n = 4 terms and the right endpoint rule to approximate. 1 x3 + 1 dx. (you don"t need to multiply or add the terms. ) 2: evaluate r x3(x2 + x) dx, evaluate r x2 x3 + 1 dx, evaluate z x3 + 1 x5 dx. 3: find the average value of the function f (x) = sec2(x) on the interval [0, /4], evaluate r sin5(x) cos(x) dx, evaluate z 2. All problems in part ii are 11 points each. Part ii: suppose the graph of a function y = f (x) is triangular, as shown in the plot below. (i) find the value of its integral:
