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If f(x+1)+f(x+7)=0, x in R , then possib...

If `f(x+1)+f(x+7)=0, x in R `, then possible value of t for which `int_a^(a+t)f(x)dx` is independent of a,is

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Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AA x in R STATEMENT 1: The possible least value of t for which int_(a)^(a+t)f(x)dx is independent of a is 12. STATEMENT 2: f(x) is a periodic function.

If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and positive constant a such that int_(b)^(c+b)f(x)dx is independent of b, then find the least positive value of c.

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