The Accumulation of Capital (AC) in a given period can be calculated by the definite integral:
∫ 0tI'dt
Where I'representa the rate of investment over a period of t years, ie, the investment is a derivative with respect to time t. Determine the Cumulative Capital (AC) for a period of five years, knowing that the investment rate is given by I '= 100. t. Mount the first full set from the period provided by exercise and then calculate it.

Question

The Accumulation of Capital (AC) in a given period can be calculated by the definite integral: 
∫ 0tI'dt 
Where I'representa the rate of investment over a period of t years, ie, the investment is a derivative with respect to time t. Determine the Cumulative Capital (AC) for a period of five years, knowing that the investment rate is given by I '= 100. t. Mount the first full set from the period provided by exercise and then calculate it.