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LRAM is the left Reimann Sums. It uses the left points touching the graph.
RRAM is the right Reimann Sums. It uses the right points touching the graph.
In order to get an accurate estimation, you need to do both LRAM and RRAM because one will always be an underestimate and one will always be an overestimate.
Reimann Sums is the method of breaking up the region into smaller, easier shapes and adding the area of each one together. It is commonly used with rectangles.
First, the area of a rectangle is length times width. So, we must find the length and the width of each rectangle, then add all of them together.For the Trapezoidal rule, there are two ways to find it. You can add LRAM and RRAM together and multiply by one half, or you can 1/2 (base 1 + base 2)H where bases are y-values and h is like delta X. This method gets you closer to the true area.
In order to get an accurate estimation, you need to do both LRAM and RRAM because one will always be an underestimate and one will always be an overestimate.
Reimann Sums is the method of breaking up the region into smaller, easier shapes and adding the area of each one together. It is commonly used with rectangles.
First, the area of a rectangle is length times width. So, we must find the length and the width of each rectangle, then add all of them together.For the Trapezoidal rule, there are two ways to find it. You can add LRAM and RRAM together and multiply by one half, or you can 1/2 (base 1 + base 2)H where bases are y-values and h is like delta X. This method gets you closer to the true area.
Then, there's the midpoint rule (MRAM). Midpoint uses rectangles but touches at a midpoint. So if your directions say to find the area bounded by 0 and 1 using 1 rectangle, your midpoint would be 1/2. From there, you repeat the steps from LRAM and RRAM.
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