Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that...

    

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Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that [² f(x) dx = 1, 2 L²9(a) da = 6, g(x) L₁ (f(a) + (f(x) + g(x)) dx = -2. Calculate each of the following, justifying your answers: -1 a) g(x) dx b) [ 9(2) de dx Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that [² f(x) dx = 1, 2 L²9(a) da = 6, g(x) L₁ (f(a) + (f(x) + g(x)) dx = -2. Calculate each of the following, justifying your answers: -1 a) g(x) dx b) [ 9(2) de dx

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Given the properties of even and odd functions we know that 1 For an even ... View the full answer