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[tex]\int_{}^{} e^x \sin(\pi x) dx [/tex]

i attempted to do this using by parts integration.

I tried u = [tex] \sin(\pi x) [/tex] so du= [tex] \pi \cos(\pi x) dx [/tex]

so then dv= [tex] e^x dx [/tex] and v= [tex] e^x [/tex]

after using [tex] uv- \int v du [/tex] I seem to be going in circles...can someone help?