Cal 1 quiz 6 Reimann's Sum and Integral

n=

number of rectangles

i=

the summation index (counts the rectangle you are on)

a,b=

endpoints of the region of the function

b-a=

the width of the region

b-a/n=

width of a rectangle

a+(b-a/n)i=

right hand endpoint of the iTH rectangle

f(x)=

the function we are finding the area under

f[a+(b-a/n)i]=

height of the iTH rectangle

f[a+(b-a/n)I](b-a/n)=

area of the iTH rectangle

n∑ i=1 f[a+(b-a/n)I](b-a/n)=

approximate area under the curve

lim n→∞ n∑ i=1 f[a+(b-a/n)I](b-a/n)=

exact area under the curve