Graph of integral
12-18-2014, 07:12 PM
Post: #1
 lrdheat Senior Member Posts: 512 Joined: Feb 2014
Graph of integral
Wondering how to plot integral of abs(sin(x)).

In solve, it works well...I can put integral of (abs(sin(X)),X,0,A)=some value, and solve for A. How do I plot the integral?
12-18-2014, 10:23 PM (This post was last modified: 12-18-2014 10:37 PM by CR Haeger.)
Post: #2
 CR Haeger Member Posts: 275 Joined: Dec 2013
RE: Graph of integral
Try this in Function app:

Enter function into F1.

Enter AREA(F1,0,X) into F2. // toolbox/1. Function/4. AREA

Plot.

12-19-2014, 02:09 AM
Post: #3
 lrdheat Senior Member Posts: 512 Joined: Feb 2014
RE: Graph of integral
Thanks!

Interestingly, here's some comparisons for int(abs(sin(x)))=4

In solve Prime comes up with 6.28318305852
In Graph where I used AREA for the integral minus 4, root came up with 6.2831849099, more accurate than the solve app answer.

My CASIO fx-9860GII in solve finds 6.2831844

In graph mode, finding x for y=4, after 6+ minutes produces 6.283145931, less accurate than the solve app.
12-19-2014, 02:19 AM
Post: #4
 lrdheat Senior Member Posts: 512 Joined: Feb 2014
RE: Graph of integral
Didn't experiment to see how much the size of the domain of the graph and range had on accuracy in finding my graphing solutions for setting the integral equal to 4...on the CASIO, I used a domain of -.2<x<8, range ~-.2<y<9.

On Prime, autoscale produced a domain of about -.2<x<8, range ~-4<y<~1.1
 « Next Oldest | Next Newest »

User(s) browsing this thread: 1 Guest(s)