sandrahg3
08.12.2020 •
Mathematics
The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+1). Find the total revenue from the sale of the first 12 calculators. (Hint: In this exercise, it simplifies matters to write an antiderivative of x+1 as (x+8)2/2(x+8) 2 /2 rather than x2/2+x.)x 2 /2+x.)
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Ответ:
Total revenue = dollars
Step-by-step explanation:
Integrate with respect to .
∫ dx
Take
Differentiate with respect to
So,
∫
Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx
Therefore,
∫
= ∫
Put
To find total revenue from the sale of the first 12 calculators, put
Total revenue = dollars
Ответ: