Integral test for the Casio FxCG500

09012017, 08:12 PM
(This post was last modified: 09012017 08:15 PM by Namir.)
Post: #1




Integral test for the Casio FxCG500
I found an interesting set of integrals in the book "Inside Interesting Integrals" by Paul J. Najin. The author shows a set of integral in the preface section:
int(cos(x)*sin(4*x)/x,x,0,infinity) int(cos(x)*cos(x/2)*sin(4*x)/x,x,0,infinity) int(cos(x)*cos(x/2)*cos(x/3)*sin(4*x)/x,x,0,infinity) and so an. Interestingly, each of the above integrals evaluates to pi/2. I tried to evaluate the integral int(cos(x)*cos(x/2)*sin(4*x)/x,x,0,infinity) (I am writing it using HP Prime form) with the Casio fxCG500, but the calculator just kept on computing! I tried the same integral with the HP Prime which promptly returned a pretty version on the integral. Subtle AND polite! I then tried int(cos(x)*cos(x/2)*sin(4*x)/x,x,0,1000*pi) on the HP Prime and instantly obtained 1.57061752887. I tried the same with the Casio ... which kept on calculating!!! It took the DM15L just about 2 minutes to match the result of the HP Prime. I am disappointed with the Casio fxCG500. Good job HP ... at least for the approximation of the integral's limit. Namir 

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Messages In This Thread 
Integral test for the Casio FxCG500  Namir  09012017 08:12 PM
RE: Integral test for the Casio FxCG500  ijabbott  09012017, 09:56 PM
RE: Integral test for the Casio FxCG500  Namir  09012017, 11:38 PM
RE: Integral test for the Casio FxCG500  ijabbott  09032017, 01:11 PM
RE: Integral test for the Casio FxCG500  Gamo  09022017, 01:34 AM
RE: Integral test for the Casio FxCG500  ijabbott  09032017, 01:41 PM
RE: Integral test for the Casio FxCG500  SlideRule  09032017, 02:13 PM

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