Question

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.

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

yup

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

so what fault u sopke @Ephemera

Answer 10

What?