Mathematica MATHEMATICA5 - How do I plot this?

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The discussion centers around evaluating and plotting the improper integral of the function 1/x^1.3 from 1 to infinity. A user seeks guidance on how to plot this integral and its approximations using Mathematica. Clarification is provided that the integral itself results in a numerical value, but the user intends to visualize the area under the curve of the function 1/x^1.3. It is noted that the integral does not converge over the specified interval, and the correct Mathematica command for evaluating the integral is given as Integrate[1/x^1.3, {x, 0, infinity}], which yields a result indicating divergence. The conversation highlights the importance of understanding the behavior of the function and the implications of convergence when plotting integrals.
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\int _1 ^{\infty} \frac{1}{x^{1.3}}dx​

I need to plot this integral and approximations with left and right endpoints using Mathematica. I've tried a google search to get some instructions... but nothing. Does anyone know how to do this?

Thank you.
 
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Mathematica contains very detailed help internally.

I'm a bit confused what you mean by plotting this integral though -- the result of this integral is just a number. Do you mean to plot the integrand?

- Warren
 
Oh, I mean the area under the graph of \frac{1}{x^{1.3}}. Well, thanks for the tip.
 
It says that Integral of 1/x^1.3 does not converge in that interval.

The instruction given was Integrate[1/x^1.3, {x, 0, infinity}]

And, the result given is:- \frac{3.33333}{x^{0.3}}
 

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