If f(x) is a continuous function defined on [0, 2a], then prove that ∫ from 0 to 2a of f(x) dx = ∫ f

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If f(x) is a continuous function defined on [0, 2a], then ∫ from 0 to 2a of f(x) dx = { 2 ∫ from 0If f(x) is a continuous function defined on [0, 2a], then ∫ from 0 to 2a of f(x) dx = { 2 ∫ from 0
If f(x) is a continuous function defined on [0, 2a], then∫ from 0 to 2a f(x) dx = ∫ from 0 to a f(x)If f(x) is a continuous function defined on [0, 2a], then∫ from 0 to 2a f(x) dx = ∫ from 0 to a f(x)
If : `int_(0)^(2a)f(x)dx=2.int_(0)^(a)f(x)dx`, then :If : `int_(0)^(2a)f(x)dx=2.int_(0)^(a)f(x)dx`, then :
If f(2a − x) = −f(x), prove that ∫ from 0 to 2a of f(x) dx = 0.If f(2a − x) = −f(x), prove that ∫ from 0 to 2a of f(x) dx = 0.
If f(x) is a continuous function defined on [−a, a], then prove that ∫ from −a to a of f(x) dx = ∫ fIf f(x) is a continuous function defined on [−a, a], then prove that ∫ from −a to a of f(x) dx = ∫ f
If f is an integrable function such that f(2a − x) = f(x), then prove that ∫ from 0 to 2a of f(x) dxIf f is an integrable function such that f(2a − x) = f(x), then prove that ∫ from 0 to 2a of f(x) dx
If f(x) is a continuous function defined on [−a, a], then ∫ from −a to a of f(x) dx = { 2 ∫ from 0 tIf f(x) is a continuous function defined on [−a, a], then ∫ from −a to a of f(x) dx = { 2 ∫ from 0 t
prove that : `int_(0)^(2a) f(x)dx` = `int_(0)^(a) f(x)dx`+`int_(0)^(a)f(2a-x)dx`prove that : `int_(0)^(2a) f(x)dx` = `int_(0)^(a) f(x)dx`+`int_(0)^(a)f(2a-x)dx`