+0  
 
0
83
1
avatar

When the function is still bounded/the limit at point of discontinuity exists, e.g for f(x) = (x-1)(x+2)/(x-1), l simplifies  to x-2 , but discontinuous and undefined at x=1, so could you then evaluate the definite integral from say 0 to 2 (or really any finite interval across the point at x = 1? Thanks'

Guest Sep 17, 2017
Sort: 

1+0 Answers

 #1
avatar+26322 
+1

If the discontinuity occurs at, say, x = p, then integrate from a to p-eps, and add to the integral from p+eps to b, where a < p, b > p and eps is very small. If possible, do the integration symbolically, then take the limits of the results as eps tends to zero.

 

Incidentally, your f(x) example is continuous at x = 1: plot it to see!

Alan  Sep 17, 2017

5 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details