find the area bounded by the graph of the indicated equation over the given intervals y= -x; y=0, −2≤x≤1

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find the area bounded by the graph of the indicated equation over the given intervals y= -x; y=0, −2≤x≤1

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Evaluate the integral \[\int\limits_{-2}^{0}-xdx - \int\limits_{0}^{1}-xdx\]
It needs to be split into two integrals because from 0 to 1 the function is below the x-axis and thus the integral from 0 to 1 will be negative. Since we are looking for area, we need to subtract the negative region (which will change the area to a positive value.)
thanks..this is what confuses me most as to which one subtracts which one?

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Other answers:

0 - (-1/2* (-2)^2 - [-1/2* 1^2 - 0]
How about \[y= -x^2 + 10; y=0; -3\le x \le3\]
is this the same thing?

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