Approximate the area under the curve and above the $x$-axis using $n$ rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.
-$f(x)=2 x^{2}+x+3$ from $x=0$ to $x=6 ; n=6$
A) 221
B) 211
C) 230
D) 200

Question

Quizplus · Accepted Answer

The width of each rectangle is 1. The heights are calculated at x=1,2,3,4,5,6. Summing these heights and multiplying by the width gives the approximate area: $f(1) + f(2) + f(3) + f(4) + f(5) + f(6) = 6 + 13 + 24 + 39 + 58 + 81 = 221$.

Approximate the Area Under the Curve and Above The xxx -Axis Using

Approximate the Area Under the Curve and Above The $x$ -Axis Using