Chapter 6.4, Problem 88E

Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94.

88. Revenue. The marginal revenue for a Company that manufactures and sells x graphing calculators per week is given by

$\begin{array}{cc}{R}^{\prime }\left(x\right)=\frac{x}{\sqrt{1+2x}}& R\left(0\right)=0\end{array}$

where R(x) is the revenue in dollars. Find the revenue func- tion and the number of calculators that must be sold (to the nearest unit) to produce $10,000 in revenue per week. How inuch weekly revenue (to the nearest dollar) will the Company have if 1,000 calculators are sold per week?