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To compute the indefinite integral 4x + 2 (a + 1) (a + 4) We begin by rewriting the rational function in the form 4x

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To compute the indefinite integral 4x + 2 (a + 1) (a + 4) We begin by rewriting the rational function in the form 4x + 2 A B (x + 1) (x + 4) x+4 (i) Give the exact values of A and B A = B = (ii) Using your new expression, compute 4x+2 + C (+1) (x+4) where C represents the integration constant. Do not include the integration constant in your answer , as we have included it for you. Important: Here we ask that you use absolute values inside of logarithms, so as to maximize the domain for which your antiderivative is valid. You write In(abs(x) ) for the natural logarithm of the absolute value of x (not "In|x|" !)

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