Asked by hajja
Evaluate the limit limit gose from x to 4 (x/x-4)integral from x to 4
Answers
Answered by
Steve
If you mean
∫[x,4] x/(x-4) dx
that's a bit unusual to have the variable of integration as one of the limits. But ok, let's work it out as-is.
∫x/(x-4) dx = x + 4 log(x-4)
Evaluating that at 4 and x, we have
(4+4log(0))-(x+4log(x-4))
Looks like -∞ to me. That upper limit of 4 is a killer
∫[x,4] x/(x-4) dx
that's a bit unusual to have the variable of integration as one of the limits. But ok, let's work it out as-is.
∫x/(x-4) dx = x + 4 log(x-4)
Evaluating that at 4 and x, we have
(4+4log(0))-(x+4log(x-4))
Looks like -∞ to me. That upper limit of 4 is a killer
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