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The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.
<h3>What is the significance of "Area under the curve"?</h3>This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.
<h3>What is the justification for the above answer?</h3>Area =
=
= e¹-(1/2-0); or
Area = e -1.5 Squared Unit
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So, since we have a cubic equation with 4 terms, the first thing we should try is factoring by grouping, so:
Now that we've factored our equation, we can use ZPP and break it up:
So, our solutions are: