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Mathematics 8 Online
OpenStudy (anonymous):

I have a question about integrating 1/x^6 from 1 to infinity

hartnn (hartnn):

what is the question ? you were able to successfully integrate ?

OpenStudy (anonymous):

Yes, I integrated it, plugged in the values and got \[\frac{ -1 }{ b ^{5} }+1\]

OpenStudy (anonymous):

The first part goes to zero, right?

OpenStudy (anonymous):

and the second is obviously just 1

hartnn (hartnn):

absolutely, infinity is very large number, so 1.infinity will be very small, very near to 0, we can say tending to 0 (1/infinity ->0) so we can plug in 0 for 1st term :)

hartnn (hartnn):

**1/infinity will be ....

OpenStudy (anonymous):

zero?

hartnn (hartnn):

though the integral will be -1/ (5x^5) , isn't it ?

OpenStudy (amistre64):

x^(-6) integrates to -x^(-5)/5

OpenStudy (anonymous):

ohhhhh

hartnn (hartnn):

yes, 1st term = 0

OpenStudy (anonymous):

I totally skipped over the 5

hartnn (hartnn):

so, recalculate the answer and tell me what u get ?

OpenStudy (anonymous):

that was silly. 1/5

OpenStudy (anonymous):

Lol, thank you :)

hartnn (hartnn):

1/5 is correct! congratulations on getting the correct answer :)

hartnn (hartnn):

welcome ^_^

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