In what cases is it required to split an integral into seperate components in order to get the appropriate answer. Some questions I find require you to split a single integral into two or more parts. Is there a general case in which this applies?
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Integration q (1 Viewer)
- Thread starter Joshmosh2
- Start date
Addition of volumes, and area under a curve (where part of the area is negative and part is positive)
Y = x^2 + 2x, bounded by x = -1 and x = 2.
Using a single intergral results in an incorrect answer. Looks like for every positive parabola with a negative boundary, two integral are required.
Any other cases for this?
enigma_1
~~~~ Miss Cricket ~~~~
Pretty much what youngsky said.
The only time you wouldn't do that is if the question said EVALUATE the integral, where you would just do it normally.
But yeah that's the only case where you need to split the integral with x=0 being the split because it separates the positive and negative regions.
