calculus help!!
Find the area bounded by f(x)= 16-x^2 and the x axis from x=1 to x=3 using 4 rectangles?

Question

calculus help!!
Find the area bounded by f(x)= 16-x^2 and the x axis from x=1 to x=3 using 4 rectangles?

aaronq · Answer

First determine the position of the parabola, 

the turning point is given by the solution of the first derivative

$f'(x)= -2x=0\rightarrow x=0 $

$f(0)= 16-(0)^2=16 $

|dw:1407726000036:dw|

You can find the area of this geometrically (but you need to draw it neatly), or analytically.

zepdrix · Answer

|dw:1407726899236:dw|Woops D: I think your drawing is a little off there.