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We wish to compute the indefinite integral 2 +1 2-3 + 9x2 (i) As x + 9x A = S. 22 (+9), we may

 

We wish to compute the indefinite integral 2 +1 2-3 + 9x2 (i) As x + 9x A = S. 22 (+9), we may write 2+1 A B x3 +9x2 Give the exact values of A, B and C. da = dx, + + = C x +9 (ii) With the help of the partial fraction decomposition, we find 2+1 x+9x2 B = + K where K represents the integration constant. Do not include the integration constant in your answer, as we have included it for you. PY Here we ask that you use absolute values inside of logarithms, so as to maximize the domain for which your antiderivative is valid.

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