Blackbody Radiation Question: Astronomy?

N

Nikki

New member
"The Riemann sum method is one way to estimate the area under a curve. Suppose that the brightness measurements were taken at smaller increments than 100 nm (the x-axis value). In this case, the area under the curve would be approximated by thinner rectangles, and there would be more of them. Would the Riemann sum yield an estimate closer to, or farther from, the actual value? Why?
 
Closer too the actual value, because the smaller the rectangles/squares and the more rectangles/squares that fit under the curve, the more closely the rectangles can "fit" to the curve. Just integrate the equation for the formula of the curve to get an accurate answer, instead of trying the non-calculus method of fitting rectangles to curves.
 
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