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This Question is Closed

Mani_Jha
 one year ago
Best ResponseYou've already chosen the best response.1If the function doesn't exist in an interval. For example, \[\int\limits_{1}^{0}\ln xdx\] is meaningless. log is defined only for positive numbers

tomiko
 one year ago
Best ResponseYou've already chosen the best response.0so when i have a question like the above i can just state it's impossible find the def integral of the this function?

Mani_Jha
 one year ago
Best ResponseYou've already chosen the best response.1yes, stating the reason if possible

tomiko
 one year ago
Best ResponseYou've already chosen the best response.0great! thanks. :). can you give another instance where it's impossible to find the integral?

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0Some integrals, like\[\int_a^b e^{kx}x^{1/2}dx\]and\[\int_a^b\sin(x^2)dx\]have no closed form, and have to be written in terms of the error function

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0And, as Mani said, if the interval contains a singularity, like\[\int_{1}^1\frac{dx}x\]is undefined because there is a singularity at x=0. In this case, if you want an answer you can use the Cauchy principle value, which in this case gives 0. In principle though, this integral does not converge.
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