Use elementary geometry to find the following area: ∫_1^3{xdx}


Question: A consulting firm, hired by a city to help develop its downtown renewal project, predicted that the number of jobs would increase at a rate

\[\frac{dy}{dx}=1600\left( 1-\frac{x}{\sqrt{1+{{x}^{2}}}} \right)\]

where y is the number of jobs and x is the amount of money invested, in million dollars. If no money is invested, no new jobs will be created. If the prediction is correct, how many new jobs will be created by an investment of 1 million?

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