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.

Question

anonymous · Answer

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

dinamix · Answer

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

anonymous · Answer

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

dinamix · Answer

yup

dinamix · Answer

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

dinamix · Answer

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

anonymous · Answer

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

anonymous · Answer

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

dinamix · Answer

so what fault u sopke @Ephemera

anonymous · Answer

What?