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The goal of this problem is to evaluate sin cos da using substitution 1 Because...

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Calculus

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The goal of this problem is to evaluate sin cos da using substitution 1 Because the cosine term has an odd power the first step is to rewrite cos5 x cos x cos x cos x cos x where n 0 2 Next replace the cos x term with 3 Now do a substitution with u and du dx 4 With this substitution the integral after multiplying out into a sum of powers of u becomes Odu Do not put a negative sign in front of the integral 5 Now antidifferentiate in terms of u and substitute back to get the final result siz C sin x cos5 x dx

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