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If f(x)+f(x+1/2) =1 Find limit 0 to 2 integration of f(x)dx. ans is 1..plzz explain.
If f(x)+f(x+1/2) =1
Find limit 0 to 2 integration of f(x)dx.
ans is 1..plzz explain.
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
But when u took x+1/2 as v , the limitss will be changed
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