Calculating Profit From Marginal Profit Using u-Substitution

Dice Dice Baby has found that its marginal profit function for making and selling polyhedral dice sets is given by \(P'(x)=\dfrac{6x}{\sqrt{7x^2+20}}\) dollars per dice set when \(x\) dice sets are made and sold. If the company's profit from making and selling 500 dice sets is \(\$240,\) what is the company's profit from making and selling 600 dice sets?

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