Nonce error -: unimplemented

I've not yet used u"v .  I'd prefer effort in calculus algorithms.
Perhaps  I've written  bad  j?  Or  failed  to specify  0  <: x  ?
Thanks, Dave.  PS. How do we Punctuate sentences containing j?

"The region bound by y = e^(-x^2),  y = 0,  x = 0,  and  x = b (b>0)
is  revolved  about the  y  axis.   1) Find  the volume of the solid
generated if b = 1.  2) Find b such that the volume of the generated
solid is 4/3 cubic units."

   NB. The solutions will follow quickly after we find "volume(x)"

   f =: ^...@-@*: NB. the function

   NB. Giving two pieces, a cylinder with volume

   cyl =: o. @ (f * *:)   NB. use:  cyl b

   NB. and the rest of Gauss's UFO by disc method

   finv =: f^:_1  NB. f's inverse
   integrand =: o. @ *: @ finv
   ii =: integrand D. _1     NB. indefinite integral
|nonce error
|   ii =: integrand D. _1     NB. indefinite integral

   ii =: integrand d. _1     NB. indefinite integral
   ii 0.1
|domain error: ii
|       ii 0.1


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