Mathematics, 19.07.2020 14:01 bob5266
Determine the area (in units2) of the region between the two curves by integrating over the x-axis. y = x2 − 24 and y = 1
Answers: 1
, there are two real and distinct solutions. Roots of the expression are:
and 
.
is equal to a number greater than zero (positive). That is:
and 
. ![[-5, -4.899]](/tpl/images/0709/7491/c6b7c.png)
and ![\left[4.899,5\right]](/tpl/images/0709/7491/34888.png)
. Besides, 
in each sub-interval. The definite integral of the region between the two curves over the x-axis is:![A = \int\limits^{-4.899}_{-5} [{1 - (x^{2}-24)]} \, dx + \int\limits^{4.899}_{-4.899} \, dx + \int\limits^{5}_{4.899} [{1 - (x^{2}-24)]} \, dx](/tpl/images/0709/7491/fc9b8.png)
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Determine the area (in units2) of the region between the two curves by integrating over the x-axis....
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