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(a) If f is continuous, show that /2 wf2 / f(005$)d$ :/ f(sina':)da:. 0 0 Hint : Show that suitable substitutions applied to given integral

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(a) If f is continuous, show that \"/2 wf2 / f(005$)d$ :/ f(sina':)da:. 0 0 Hint : Show that suitable substitutions applied to given integral yield the same integral. If? f 0052 mdm. n {b} Use part (a) to evaluate 2 Hint :The identity 1 = 0052 :t: + 5111 a\": is of use for both parts

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