007B Sample Midterm 2, Problem 3

The population density of a plant species is  $f(x)$  individual per square meter, where  $x$  is the distance from the river, with  $f(x)\geq 0$  for  $x\leq 100$  and  $f(x)=0$  for  $x\geq 100.$ Construct a definite integral to calculate the number of plants along a section of the river of length  $L.$

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