Sketch the region between -1 and 1 for 1/x^2 and find its area.
So this is integral (-1 to 1) 1/x^2
I can compute this and it comes to -2, but it is not integrable at x=0. So should I put for the area that is is infinite or what would the area be?
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Sketch the region between -1 and 1 for 1/x^2 and find its area.
So this is integral (-1 to 1) 1/x^2
I can compute this and it comes to -2, but it is not integrable at x=0. So should I put for the area that is is infinite or what would the area be?
you said it, it's not integrable there because it's not bounded onQuote:
Originally Posted by zhupolongjoe
this splits asthen work this to see what leads to.
But you also get when you do that, for example in the first integral
-1/x and you can't plug 0 into there...so that brings me back to the question...is it just infinite area?
Try splitting the integral into two and substituting the variable.
So:
Substitute the lower limits of integration with variables, and take the limit as those variables approach zero from the left and right respectively.
Still get division by 0
Not if you take the limit as some variable approaches zero from the right or left. Then you will get infinity.