Posted by Hannah on Friday, October 22, 2010 at 8:34pm.
Apparently it diverges to negative infinity. Can someone please explain to me why?
I do not know how you got 0.7, negative infinity seems to me correct because there is an asymptote at x=5.
For improper integrals where the vertical asymptote is between the integration limites, we have to be careful not just evaluate the integral at the two limits.
Instead, we will subdivide the integral into two, from 0 to 5 and from 5 to 7.
If both integrals converge, then you have convergence and the integral is defined.
If there are more vertical asymptotes, you will need to subdivide accordingly.
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