Solve the Problem $M^{\prime}(x)=15 x \sqrt{x^{2}+5}$ , Where $x$ Is Time Measured in Years

Multiple Choice

Solve the problem.
-The rate of expenditure of a particular machine is given by $M^{\prime}(x) =15 x \sqrt{x^{2}+5}$ , where $x$ is time measured in years. Maintenance costs through the second year are $\$ 125$ . Find the total maintenance function.

A) M $(x) =5\left(x^{2}+5\right) ^{3 / 2}+110$
B) $M(x) =15\left(x^{2}+5\right) ^{3 / 2}-10$
C) M $(\mathrm{x}) =15\left(\mathrm{x}^{2}+5\right) ^{3 / 2}+110$
D) $M(x) =5\left(x^{2}+5\right) ^{3 / 2}-10$