Four Right-Edge Rectangles — easy Integrals problem | Incognition

Four Right-Edge Rectangles

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IntegralsEasy

Four Right-Edge Rectangles

Estimate the area under $f(x) = x^{2}$ between $x = 0$ and $x = 4$ using 4 rectangles of equal width, taking each rectangle's height from the right edge of its strip.

Strip	Right edge	Height $f(x)$
$[0,1]$	$x = 1$	?
$[1,2]$	$x = 2$	?
$[2,3]$	$x = 3$	?
$[3,4]$	$x = 4$	?

What does this 4-rectangle estimate come to?

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