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Help with this Differentiation question please!?

Am really confused by this question =( Q) A gardener is considering a new design for his garden; he has a rectangular lawn measuring 5m by 3m and wants to dig up part of it to include a flower bed along the 3m edge. the equation of the curved edge of the flower bed is y = -x2 + 2x + 3 Calculate the area of flower bed. I don't even have any idea how to approach this..

Public Comments

1. I would do it using integration. But that would be too much for you I guess.
2. I think you should take the integral of the equation from 0 to 3. So basically take the integral and plug in 3. I did this in my head and got 36, so you may want to double check that.