Question

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intlimits^a_{-a} {} , {f(x)+f(-x)}dx= a) 2intlimits^a_0 {f(x)} , dx b) 0 c) 2.intlimits^a_0 {f(x)+f(-x)}dx

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Solution

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$∫_−a^a {f(x)+f(-x)}dx=$

@intlimits^a_0 {f(x)} , +f(x) =0 When f(x) is odd =intlimits^a_0 {f(x)} ,

When f(x) is even