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## Main Question or Discussion Point

If one is given two known functions G[x,y] and J[y], is there an explicit transformation that could be constructed to give us either one of the following integrals from the other?

[tex] \int dz G[z,y]^n J[z] [/itex]

[tex] \left( \int dz G[z,y] J[z] \right)^n [/itex]

Here n is an integer.

Thanks!

[tex] \int dz G[z,y]^n J[z] [/itex]

[tex] \left( \int dz G[z,y] J[z] \right)^n [/itex]

Here n is an integer.

Thanks!