Integral of a defined function ) ..

I am not sure how to address the elements of the series .. any help appreciated ...]]>

It goes without saying that several spirals can be represented if the figures are drawn separately and flipped one by one.

But it would be best to draw with a function. Probably the Euler-Maclaurin summary formula

maybe it would solve the problem if we applied it.

The internal properties of the spirals are thus determined by an internal function of the curvature factor dt/ds. I don't know how to give him that long formula. But it is also likely that a different summation formula is needed.

It would be advisable to use two solutions that can be used to solve things that, unfortunately, I only partially know about.

The sum function is again suitable for drawing functions iteratively, the only problem is that the function is an integer

returns a value, and you need fractional values here, otherwise the spiral will appear piecemeal. Another

option would be the range function.

The use of the individual functions was familiar only with the key combination, for which I thank you very much in retrospect, and of course also for the help.

It's much easier to keep track of a named variable in that list than finding the right value to change in the formulas every time, and the named variables are shared across functions so you only have to change the value once instead of once for each of the functions.

]]>I want to know how I can draw new spirals from existing spirals. I tried the Sum function which repeats the drawing,

but nothing happened.

Is there a way to redraw a function from an old function?

Is it possible to draw a new function from an existing function, and if so, how can I do this by changing the parameters?

Attachments have been shared in the appropriate forum.

Thanks for the help!

]]>If yes , is there a simple procedure to do so ?]]>

See https://www.padowan.dk/doc/english/Powe … .html#sqrt]]>

How do you get a square root?]]>

I usually hide all grid lines, move the y-axis to intersect way outside the graphing window, and put both arrows on the x-axis. This gets me close, but every time I go to copy the resulting image, I get way more than just the number line, and when I try and snip it using another application, I never seem to get the arrows snipped nicely. Is it possible to have the x-axis ends a little bit further from the ends of the window so that I can snip a nice number line without the ends looking weird?

I have also tried to graph y=0 and put arrows on the ends, but then when I show the ticks of the x-axis the tick marks get in the way.

Thanks!

]]>The graphs are not straight lines.

Excuse me for the stupid question .]]>