Question

Use the Left Endpoint approximation method to approximate the area under the graph of the function $f(x) = 6 ln(x^3)$ over the interval $[1, 3]$. Use 5 rectangles. Start by filling out the following table: egin{tabular}{|c|c|c|c|} hline $i$ & $x_i$ & $f(x_i)$ & $f(x_i) Delta x$ \ hline 0 & 1 & & \ 1 & & & \ 2 & & & \ 3 & & & \ 4 & & & \ hline end{tabular} Use the table to compute the approximate area (remember to be careful about rounding). Area $approx$

          Use the Left Endpoint approximation method to approximate the area under the graph of the function
$f(x) = 6 ln(x^3)$
over the interval $[1, 3]$. Use 5 rectangles.
Start by filling out the following table:
egin{tabular}{|c|c|c|c|}
hline
$i$ & $x_i$ & $f(x_i)$ & $f(x_i) Delta x$ \
hline
0 & 1 &  &  \
1 &  &  &  \
2 &  &  &  \
3 &  &  &  \
4 &  &  &  \
hline
end{tabular}
Use the table to compute the approximate area (remember to be careful about rounding).
Area $approx$
        
Show more…
Use the Left Endpoint approximation method to approximate the area under the graph of the function
f(x) = 6 ln(x^3)
over the interval [1, 3]. Use 5 rectangles.
Start by filling out the following table:
egintabular|c|c|c|c|
hline
i     xi     f(xi)     f(xi) Delta x hline
0     1           1                2                3                4                hline
endtabular
Use the table to compute the approximate area (remember to be careful about rounding).
Area approx

Added by Ronald M.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Use the Left Endpoint approximation method to approximate the area under the graph of the function f(x) = 6 ln(x^3) over the interval [1, 3]. Use 5 rectangles. Start by filling out the following table: Use the table to compute the approximate area (remember to be careful about rounding). Area
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Transcript

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00:01 The first thing that you probably want to do is acknowledge the n equals 5 number of rectangles and the change in x.
00:14 I'll just leave it at that.
00:15 Where you do the upper bound minus your lower bound divided by 5, the number of rectangles.
00:20 So you're looking at 2 fifths or 0 .4.
00:24 So when you're looking at that chart, they say where do you want the first rectangle? 0, 1, 2, 3, and 4 and x sub i.
00:34 The way i'm reading it is so they yeah they want you to start at 1.
00:39 That's your lower bound for they want the left so that makes perfect sense...
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