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How can I solve this integral: C(x)= (0,x)integral cos((PI)u*2/2) du Example: (0,1)integral x dx = 1/2

Go to your local library. There is a book called "CRC Standard Math Tables" that has an extensive list of solved integrals. If you cannot find it your integral in that book, CRC has a more extensive book on solved integrals that your library may have, so ask your librarian.

C. Murphy

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