integration: if f(x)+f(x+1/2) =1 find limit 0 to 2, Mathematics

f(x)+f(x+1/2) =1

f(x)=1-f(x+1/2)

0∫2f(x)dx=0∫21-f(x+1/2)dx

0∫2f(x)dx=2-0∫2f(x+1/2)dx

take (x+1/2)=v

dx=dv

0∫2f(v)dv=2-0∫2f(v)dv

2(0∫2f(v)dv)=2

0∫2f(v)dv=1

0∫2f(x)dx=1

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