Question 1. Evaluate each definite or indefinite integral. 8 (a) dx x2 - 4x (b) x 22 + 4x + 4 - dxQuestion 2. Evaluate each definite or indefinite integral. (a) 23+1 dx 203 + 20 1 (b) dx 22 + 1Question 3. Determine if each integral converges or diverges. Evaluate those that converge. (a) [:0 are\" da: 1 1/z (h) f 6 d3: 0 Question 4. Use the integral comparison test to determine if the integral [\"3 sin2(27r:c) dm 1 533/2 converges or diverges. Hint: use an integral p-test with p = 3/2. Using desmos (or your favorite computer graphing tooliNO HAND DRAWN PLOTS WILL BE ACCEPTED) plot the graphs of f (as) = sin2(27rm)/:c3/2 and g(;r) = 1/33372 on the same axis. Restrict your ccaxis to the interval 0 S m S 10 and yaxis to the interval 0 S y S 2. Does your graph support your conclusion from the comparison test? Question 5. Use the graph to answer the following questions. You may assume that the trends (end- behaviors) in the graphs continue beyond the plotted domain as :1: ) oo. (a) Assume that fl\" f (1:)da: converges. What can you conclude about f1 9(2) dz? What can you conclude about f 10 h(z) dx? Explain your answers. (b) Assume that f 1'\" f (:3) d1: diverges. What can you conclude about If\" g(:1:) dz? What can you conclude about f1\" h(z)d.1:? Explain your answers