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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.


     

Grade:11

2 Answers

raj razi
31 Points
9 years ago

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

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

02f(x)dx=021-f(x+1/2)dx

02f(x)dx=2-02f(x+1/2)dx

take (x+1/2)=v

dx=dv

02f(v)dv=2-02f(v)dv

2(02f(v)dv)=2

02f(v)dv=1

02f(x)dx=1


Ranjita yadav
35 Points
9 years ago

But when u took x+1/2 as v , the limitss will be changed

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