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To compute the indefinite integral 5x + 1 dx , (ac + 2) (2 + 6) We begin by rewriting the rational function in the

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To compute the indefinite integral 5x + 1 dx , (ac + 2) (2 + 6) We begin by rewriting the rational function in the form 5x + 1 A B (2 + 2) (2 + 6) a + 2 2 + 6 (i) Give the exact values of A and B. A = B = (ii) Using your new expression, compute 5x+1 (20 + 2 ) ( 20 + 6 ) dx = + 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(a)) for the natural logarithm of the absolute value of x (not "In( x " ! )

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