In Exercises 6770, use the following alternative method for evaluating the integral J =
Chapter 7, Problem 70(choose chapter or problem)
In Exercises 6770, use the following alternative method for evaluating the integral J = sinm x cosn xdx when m and n are both even. Use the identities sin2 x = 1 2 (1 cos 2x), cos2 x = 1 2 (1 + cos 2x) to write J = 1 4 (1 cos 2x)m/2(1 + cos 2x)n/2 dx, and expand the right-hand side as a sum of integrals involving smaller powers of sine and cosine in the variable 2x.sin6 xdx
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