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Evaluate ∫9xdx. Here C is the constant of integration. Use abs(x) to denote |x|.

Evaluate ∫9xdx. Here C is the constant of integration. Use abs(x) to denote |x|.-example-1

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First of all, we must remember that:


\int(1)/(x)dx=\ln|x|+C


\int(9)/(x)dx=9\int(1)/(x)dx=9\ln|x|+C

Answer:

9*ln(abs(x)) + C

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