Question: (a) Prove the reduction formula (b) Use part (a) to evaluate cos 2 x dx. (c) Use parts (a) and (b) to evaluate

(a) Prove the reduction formula

п — 1 cos

(b) Use part (a) to evaluate ∫ cos2x dx.
(c) Use parts (a) and (b) to evaluate ∫ cos4x dx.

1 cos"- cos"-'x sin x + cos"x dx cos"-2x dx

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