Piecewise Integral, question about breaking integrals up

where

I broke up the integral like this . When I look at the graph of these two functions I notice that they overlap each other. Does that affect the area value in any way? I know the antiderivates will be even functions, so I think I only have to find the integral of the 1st and 4th quadrant and then just double it. If I do : I get 28, but that's not correct. I'm sure I'm just not understanding something about these graphs, that's what I ask if the overlap feature means I need to break up the endpoints of the integral differently?

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Re: Piecewise Integral, question about breaking integrals up

Quote:

Originally Posted by

**AZach** where

I do not understand most of your statement. In particular the bit about "overlapping".

Look at this graphic.

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Re: Piecewise Integral, question about breaking integrals up

When I graphed the two functions 6x^3 and 7sin(x) on my TI83 I got a graph that looked like this Attachment 26162

Did I have the integrals broken up correctly?

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Re: Piecewise Integral, question about breaking integrals up

Re: Piecewise Integral, question about breaking integrals up

Thanks Skeeter, I never knew how to do that before.