The rate at which revenue was generated​ (in millions of dollars per​ year) for a certain company for the years 2010 through 2016 can be approximated by ​f(t)=348e0.22t ​(10≤t≤​16), where t=10 corresponds to the start of the year 2010. Find and interpret ∫1016f(t)dt.

The revenue of a company represents the income generated by the company within a time frame. The total revenue generated by the company from the start of 2010 to the start of 2016 is $39.16 billion

Given that:

First, we calculate the integral

This is calculated as:

Remove the constant

Now, integrate

Expand

From the question

represents the start of 2010.

This means that

represents the start of 2016.

So, the interpretation is:

The total revenue from the start of 2010 to the start of 2016 is $39.16 billion

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