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# Finding area beneath/below x-axis; integration watch

1. Oh sorry then, In haste i just read the post topic and attachment, and answered
2. (Original post by apronedsamurai)
Your both right

There are three questions in total.

I was asking for help regarding the first question, so that I might be better enabled to work on the other two myself.
Have you sorted this out now?

I was going to take a look but for some reason your attachment isn't coming up properly on my browser and will only save as a tiny image!

I presume you're trying to find the area between the line y = 2-x and the x-axis between the limits x=0 and x=3, in which case, as already explained, you need to look at two separate regions - the part from x=0 to x=2 and the part from x=2 to x=3 because your line crosses the x-axis at that point.
3. (Original post by davros)
...
Your presumption is correct.
4. (Original post by morgan8002)
Your presumption is correct.
Thanks

Although I was hoping we might see some feedback from the OP to indicate whether he's overcome his conceptual difficulties with the assistance that people have provided already...
5. (Original post by Actaeon)
This is where integrating the parts of the graph above and below the x-axis separately comes in. The section from 0 to 2 will integrate to give 2. The section from 2 to 3 will integrate to give -0.5. So if you simply integrate between 0 and 3 you'll get 1.5 which is wrong - area is always positive. So integrate them separately, add them ignoring the negative sign, and you get 2+0.5 =2.5
Sorry for late response, been super swamped with college, pesonal issues etc etc.

Ok, so I am unsure as to where/how you get the -0.5

When I integrate 2 and 3; I get 1.5...

EDIT: God, what a ****ing moron I am. I had forgotten to subtract the value of the 3 and 2; and right enough, got -0.5; as advised, disregarded the sign, from there; upon adding the two values together, got the required 2.5.

I was getting frustrated because I had managed to finally grasp the -x+2=0; but was thinking why on earth was I missing out on the 2.5

Thanks guys. I am not 100% confident on this topic, but will be working on it today so hopefully will be able to report back more definitively one way or another.

In any case, big thank you to everyone for your help.

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