Question: 1. Let a E R. Suppose that f is continuous on [a, a]. Prove the following statements. Use only the subst. rule and integration pr0perties.

1. Let a E R. Suppose that f is continuous on

1. Let a E R. Suppose that f is continuous on [a, a]. Prove the following statements. Use only the subst. rule and integration pr0perties. Do NOT use FTOC I. (a) If f is an even function on [a,a] then/ f(:v)da: = 2/ f(a:)d:v. a 0 (b) If f is an odd function on [a,a] then / f(:1:)d3: = 0. 2 t (c) Use the above properties to evaluate / wring _2 2+$2

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