Question: Plot vector valued function, derivative and integral, on same plot

Hello, so while I am toying with Maple and some excersizes, I have realized my skills aren't what I thought they were from when I last used Maple 8. I swear the program gets smarter and returns more errors now that I cannot properly define some functions.

For example, I have attempted to plot the vector function r(t)=<cos(t), sin(t), exp(sin(t))>. Required, in the same plot region, same graph, is to plot A) the function r(t), B) the derivative r'(t) AND the C) Integral(0..t) of r(s)ds ....these curves must be within the same plot, perhaps with lines of varying colors. I have managed to obtain the plot fairly well, although I cannot find a nice format for entering the inegral part of the plot, but the other curves (r(t) and r'(t)) look great.

So far, I have used...(and would prefer to stay away from a procedure, if this formulates and answer, as I am not familiar with them as much and would like to stick to basic commands, as exemplified below.)

r:=([cos(x), sin(x), exp(sin(x))]) [CTRL]=  -->assign to name A

diff(r, x)  [CTRL]=  -->assign to name B

spacecurve({A,B}, x=0..2*Pi)

The plot is very nice, seems to work well, but I cannot seem to enter the integral in a proper form to allow it to be graphed on the same plot...any suggestions?

 

Thanks

 

Please Wait...