Let In = x n cos(x 2 ) dx and J n = x n sin(x 2
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Let In = ∫xn cos(x2) dx and Jn = xn sin(x2) dx.
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(a) Find a reduction formula that expresses I, in terms of Jn-2. Write x" cos(x²) as x-1(x cos(x²)). (b) Use the result of (a) to show that I, can be evaluated explicitly if n is odd. (c) Evaluate 13.
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a Integration by Parts with u x1 and dv x cosx dx yields n 1 1 In x sinx ...View the full answer
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