C

Evaluate the following integral on the interval $(0;+\mathrm{\infty })$. $$\int \ln x\mathrm{d}x$$

Suppose three numbers form three consecutive terms of an arithmetic sequence. The sum of these numbers is $33$ and the product is $1155$. Find the smallest of these three numbers.

The sides of a right triangle form three consecutive terms of an arithmetic sequence. The perimeter of the triangle is $60\mathrm{cm}$. Find the hypotenuse of the triangle (the longest side).

The sides of a box form three consecutive terms of an arithmetic sequence. The volume of the box is $665{\mathrm{cm}}^3$. The shortest side is $5\mathrm{cm}$. Find the surface area of the box.