If f(a+b-x)= f(x) then integrate x.f(x) dx limits from a to b is equal to | definite integrals jee

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If f(x) is odd, then this integral is zero, Proof (ILIEKMATHPHYSICS) If f(x) is odd, then this integral is zero, Proof (ILIEKMATHPHYSICS)
General Proof: the integral f(x)/{f(a+b-x) +f(x)} dx where a & b are the limits of int. General Proof: the integral f(x)/{f(a+b-x) +f(x)} dx where a & b are the limits of int.
If f(x)=f(a+b-x), then `int_(a)^(b) xf(x)dx`|| if f(a+b-x)=f(x) then ∫_a^bx f(x) dx is equal to .. If f(x)=f(a+b-x), then `int_(a)^(b) xf(x)dx`|| if f(a+b-x)=f(x) then ∫_a^bx f(x) dx is equal to ..
If f(a+b-x)=f(x) then integration a to b xf(x)dx/ integration a to b f(x)dx is equal to If f(a+b-x)=f(x) then integration a to b xf(x)dx/ integration a to b f(x)dx is equal to
Solution: Bounds from Definite Integrals Solution: Bounds from Definite Integrals
Infinity Integral from a to b f(x)dx=f(a+b-x)dx| MSM math Infinity Integral from a to b f(x)dx=f(a+b-x)dx| MSM math
Definite Integral Geometrical meaning of integral of f(x) from -a to a, when f(x) is an odd function Definite Integral Geometrical meaning of integral of f(x) from -a to a, when f(x) is an odd function
Definite Integral of f(x) from a to a Definite Integral of f(x) from a to a