If f is an integrable function such that f(2a − x) = f(x), then prove that ∫ from 0 to 2a of f(x) dx

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If f(2a-x)=-f(x), then show that, int_(0)^(2a)f(x)dx=0 | 12 | DEFINITE INTEGRAL | MATHS | CHHAY...If f(2a-x)=-f(x), then show that, int_(0)^(2a)f(x)dx=0 | 12 | DEFINITE INTEGRAL | MATHS | CHHAY...
Even Function: Show Integral [-a, a] = 2 [0, a]Even Function: Show Integral [-a, a] = 2 [0, a]
If f(x) is a continuous function defined on [0, 2a], then prove that ∫ from 0 to 2a of f(x) dx = ∫ fIf f(x) is a continuous function defined on [0, 2a], then prove that ∫ from 0 to 2a of f(x) dx = ∫ f
properties if definite integration#integ[0 to 2a f(x)]dx=0 if f(2a-x)=-f(x)#shorts #class12maths #ndproperties if definite integration#integ[0 to 2a f(x)]dx=0 if f(2a-x)=-f(x)#shorts #class12maths #nd