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## Homework Statement

integral of sin(1-x)sinx dx

## Homework Equations

## The Attempt at a Solution

so i did by parts once and got -sinxcos(1-x) - integral of -cos(1-x)cosx dx

then i did by parts again and got -sinxcos(1-x) + cosxsin(1-x) - integral of -sin(1-x)sinx dx

if you take out the negative on the last integral you end up where you started? any one know where i messed up?