### Home > CALC > Chapter 8 > Lesson 8.3.1 > Problem 8-105

**Multiple Choice:** The population * *of a city is growing according to the equation

Notice that the given equation is a derivative. It gives information about the rate of change of the population. But what we want to know is information about the actual population. How do we undo a derivative?

It is necessary to use implicit integration because the derivative is in terms of time, but time does not appear in the equation.

Separate the sides:

Integrate both sides.

Combine the constants of integration.

Evaluate the given point to solve for :

Substitute in the value of , then write an equation for

*.*

Use your equation to find Population at

*years.*