Question: 1 (1) Let () = , consider the integral () 1 Does the integral converge? If it does, to what value and if it does

1 (1) Let () = , consider the integral () 1 Does the integral converge? If it does, to what value and if it does not show why. 1 (2) Consider the same function () = and the same limit of integration but this time consider the volume of solid created by revolving the graph of g around the x-axis. Does the integral of the volume diverge? If so show why. If the integral converges, to what value. Does your answer to this question contradict the answer to question 1? (3) Consider the integral 1 1 Does this integral converge or diverge? Explain why. 10 (4) Find the anti-derivative of: 3 + 1 2 4 + 5

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