(See Solution) The integrand of the definite integral is a difference of two functions. Sketch the graph of the function and shade the region whose areas is


Question: The integrand of the definite integral is a difference of two functions. Sketch the graph of the function and shade the region whose areas is represented by the integral.

\[\int\limits_{-1}^{1}{\left( \left( 1-{{x}^{2}} \right)-\left( {{x}^{2}}-1 \right) \right)dx}\]

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