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Integrate an unknown function?

Posted 7 years ago

The following is the integral:

Integrate[(-1/g[z]^2 + 2/g[z]^3) *(D[g[z], z, z]), z]

This returns:

enter image description here

where g(z) is an unknown function of z. How can I modify the code in order to solve this integral?
Thanks

2 Replies

Not sure what is expected from that input. If that second derivative, D[g[z],z,z], is changed to a first derivative then an antiderivative is produced.

Integrate[(-1/g[z]^2 + 2/g[z]^3)*(D[g[z], z]), z]

(* Out[27]= -(1/g[z]^2) + 1/g[z] *)
POSTED BY: Daniel Lichtblau

Thanks for the comment!

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