## anonymous one year ago Estimate the area under the curve f(x) = 16 – x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. Answer to the nearest integer.

1. anonymous

Would I take the integral of the function from 0 to 3?

2. dinamix

yup this it @Ephemera use integral u know how use it right ?

3. anonymous

$\int\limits_{0}^{3}16-x ^{2}$ That would be it correct?

4. dinamix

yup

5. dinamix

$\left[ 16x-\frac{ x^3 }{ 3 } \right]$

6. dinamix

(16(3)- 3^3/3) - 0 = 48-9 = 39 this the area @Ephemera

7. anonymous

@dinamix just solved it myself and got 39 as well. Appreciated.

8. anonymous

@dinamix I got this one wrong too....could it be a faulty system?

9. dinamix

so what fault u sopke @Ephemera

10. anonymous

What?