Forgive my ignorance and for asking such a silly question...

Today in Calc II, I'm introducing the natural log as an integral.  I'd like to 
show the graph of y=1/t from say 0 to 8 and have the area under the graph 
shaded from say 1/2 to 1.  Doing the following seemed natural to me:

plot(1/t,.1,8)+plot(1/t,1/2,1,fill=true).show()

However, this doesn't work.  (Of course, I declared t as a variable earlier.)  
I'm sure I could figure this out, but I teach in an hour and I'm sure someone 
here could quickly tell me:)

Also, if someone wouldn't mind telling when to use ".show" that would be great.


Dana Ernst, Ph.D.
Assistant Professor
Department of Mathematics
Plymouth State University
MSC 29, 17 High Street
Plymouth, NH 03264-1595

Email: dcer...@plymouth.edu
Web Page: http://oz.plymouth.edu/~dcernst
Office: Hyde 312

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