domingo, 11 de abril de 2021

integrals circulars imperials

2·int[ z = e^{ix}+p ][ (z+p)·(z+(-p)) ] d_{z}^{(1/m)}[z] d[x]

2·int[ (e^{ix}+2p)·e^{ix} i^{(1/m)}·e^{(i/m)·x} ] d[x]

2i^{(1/m)}·int[ e^{(2i+(i/m))·x}+2p·e^{(i+(i/m))·x} ] d[x]

2i^{(1/m)}·( (1/m^{(1/m)})·(1/(2i+(i/m))^{(1/m)})·e^{m·(2i+(i/m))·x}+...

... 2p·(1/m^{(1/m)})·(1/(i+(i/m))^{(1/m)})·e^{m·(i+(i/m))·x} )

2·(1/m^{(1/m)})·( (1/(2+(1/m))^{(1/m)})·e^{m·(2+(1/m))·i·x}+...

... 2p·(1/(1+(1/m))^{(1/m)})·e^{m·(1+(1/m))·i·x} )

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