problem:

Sketch the region enclosed by the given curves. Decide whether to integrate with respect toxory. Draw a typical approximating rectangle and label its height and width.

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Here is what the 2 lines look like:

In doing these types of area problems when part of the curve is negative, would i set up the integral to be from -1 to 0 of 6x*dx-(x^2-7)*dx and add it to the integral of 0 to 7 of 6x*dx-(x^2-7)*dx?

thanks.