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For this exercise, give exact answers involving simplified fractions as necessary. If you need to evaluate a definite integral, be sure to list the integral, the antiderivative, and what you get when plugging in the limits of integration as part of your work. Consider the following PDF: fx (2) = Jc(1 - 6x2) if - 1 5x5 otherwise Note that they are predicting the entire bracket before the first rap battle takes place. So to predict the winner of a second round rap battle, they are choosing between two winners they predicted in the prior round. 2 Where c is a constant. (a) What value of c makes the PDF valid? (b) What is Fx (k)