anonymous
  • anonymous
Hi, I'm working on pset6 and have a question regarding 3C-4. 'The Solutions to integration problems' explain it is the infinite region between the curve y = x^−10 and the x-axis for x > 0. Shouldn't it be the region for x > 1?
OCW Scholar - Single Variable Calculus
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Probably not, as the integral\[\int\limits_{1}^{\infty}x ^{-10}dx\]is finite whereas\[\lim_{t \rightarrow 0^{+}}\int\limits_{t}^{\infty}x ^{-10}dx\]is not.

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