## Find the area of the region trapped between LaTeX: y=1-2x^2 y = 1 − 2 x 2 and LaTeX: y=\left|x\right| y = | x | , shown above. The answer is

Question

Find the area of the region trapped between LaTeX: y=1-2x^2 y = 1 − 2 x 2 and LaTeX: y=\left|x\right| y = | x | , shown above. The answer is LaTeX: \frac{A}{12} A 12 . Below, enter only the whole number LaTeX: A A .

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2 weeks 2021-09-10T13:53:52+00:00 2 Answers 0

A = 7.

Step-by-step explanation:

2. The area is given by the integral,

The integrand is even, so we can simplify the integral somewhat as

When , we have , so this is also the same as

which has a value of

so that A = 7.