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Find the area bounded by the parabola y...

Find the area bounded by the parabola `y = 2-x^2` and the straight line `y+x= 0`.

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By solving `y = 2-x^(2)` and y + x = 0 we get `x = -1, 2`
`A = int_(-1)^(2) [f(x) - g(x)]` dx
`= int_(-1)^(2) [ 2-x^(2) + x]` dx
`= [2x]_(-1)^(2) - [(x^(2))/(3)]_(-1)^(2) + [(x^(2))/(2)]_(-1)^(2)`
`= (13)/(2)` sq. units
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