Integration For a Range of Limits

[ptc-4623107]

Hi there.

I am trying to use Mathcad to find the probability of a sinking object hitting the seabed within several rings in 10m intervals.

It is quite a simple integration problem using a range of limits.

Basically I have a range for the upper and lower limits, r0 and ri, but they are highlighted as either 'not real', or 'need to be a scalar/vector' (Please see attached sheet)

I have tried putting the variable limits as either Matrices/Vectors as well as a range, but I cannot get it to work. On the attached sheet at the bottom are the individual workings, but I was hoping to generate a list of answers from one general formula.

I am a student and I am very new to Mathcad, I have searched the help section on Matchcad and on this website but I cannot find or think of an alternate way of solving the problem. I appreciate this may be simple and I may not be using Mathcad correctly, but any help, or direction would be much appreciated.

Thanks,

James

[AlanStevens · Accepted solution]

You can use a range variable to automatically run through all the calculations. See attached.

Alan

[ptc-4623107]

That's great Alan thanks a lot for your time. I see it was rudimentary so I apologise.

James

[AlanStevens]

James Butterworth wrote:

That's great Alan thanks a lot for your time. I see it was rudimentary so I apologise.

James

No need to apologise. This forum is here to help.

Alan

PS You might want to download the file again - I replaced it with a slightly better version.

PPS Are you sure you want your integrals to go from -r to +r? Shouldn't they go from 0 to +r?

[ptc-4623107]

Alan,

Thanks again.

The Recommended Practice I am using states the integrals are from -r to +r yes.

If you google "RP F107", select the first link and go to page 20 of the PDF, this is what im referring to.

James

[StuartBruff]

An alternative in this case (as there are no other arrays) is to use the vectorize operator - works in M11 and Prime 1.0.

Stuart

[ptc-4623107]

Thanks Stuart.

Funnily enough you answered a question I was about to ask! In a later part of this working I had to multiply the table of answers by another Vector. It was doing the dot product initially but the vectorize operator solved my problem.

Cheers,

James

[StuartBruff]

James Butterworth wrote:

Thanks Stuart.

Funnily enough you answered a question I was about to ask! In a later part of this working I had to multiply the table of answers by another Vector. It was doing the dot product initially but the vectorize operator solved my problem.

Cheers,

James

Rats! I should have waited and got a Correct Answer instead of just a Helpful one!

[nas0k]

Can you receive precognitive points?

[StuartBruff]

Norm Schutzkus wrote:

Can you receive precognitive points?

I knew you were going to say that.