7.2: Riemann Sums: Left & Right-hand Sums Speak about how this is how riemann approached finding the area under the curve, or what we now call the integral. But this is only an approximation not an exact answer.

Today you’ll learn how to estimate the integral the same way Riemann approached it. Left-Hand Right-Hand Use rectangles of base one to show the example. Left hand rule start from the beginning which is zero to 3 then rhr go the opposite way

Area of a Rectangle = (b)(h) Would this be an over or under approximation? Estimate the area under the curve using left-hand sum approximations from .5 to 3 with 5 rectangles

Would this be an over or under approximation? Estimate the area under the curve using right-hand sum approximations from .5 to 3 with 5 rectangles Would this be an over or under approximation?

Left-hand Rule Right-hand Rule How to find the base

Estimate the area under the curve of the the following function using 6 equal based rectangles. from Left-hand Right-hand