Answer:
0.007502795
Step-by-step explanation:
We have
N = 10,000
Replacing these values in the expression for k:
So, the intensity is given by the function
The <em>total light intensity</em> is then
Since is an <em>even function</em>
and we only have to divide the interval in five equal sub-intervals with midpoints
The sub-intervals and their midpoints are
<em>By the midpoint rule</em>
computing the values of I:
Similarly with the help of a calculator or spreadsheet we find
and we have
Finally the the total light intensity
would be 2*0.003751395 = 0.007502795