9.pdf - First let u = eu2212u03b8 dv = cos 7u03b8...

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First let u = e - θ , dv = cos 7 θ dθ du = - e - θ , v = 1 7 sin 7 θ . Then I = integraltext e - θ cos 7 θ dθ = 1 7 e - θ sin 7 θ - integraltext 1 7 sin 7 θ ( - e - θ ) = 1 7 e - θ sin 7 θ + 1 7 integraltext e - θ sin 7 θ dθ . Next let U = e - θ , dV = sin 7 θ dθ dU = - e - θ , V = - 1 7 cos 7 θ , so integraltext e - θ sin 7 θ dθ = - 1 7 e - θ cos 7 θ - integraltext ( - 1 7 ) cos 7 θ ( - e - θ ) = - 1 7 e - θ cos 7 θ - 1 7 integraltext e - θ cos 7 θ dθ . So I = 1 7 e - θ sin 7 θ + 1 7 bracketleftbig( - 1 7 e - θ

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