Oraux X Ens Analyse 4 24.djvu Info
[ J_n = \left[ f'(t) \frac\sin(nt)n \right]_0^1 - \frac1n \int_0^1 f''(t) \sin(nt) dt. ] Boundary: at ( t=1 ): ( f'(1) \sin n / n ); at ( t=0 ): ( f'(0) \cdot 0 / n = 0 ). So ( J_n = O(1/n) ).
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Let ( u = f'(t) ), ( dv = \cos(nt)dt ), ( du = f''(t) dt ), ( v = \frac\sin(nt)n ). [ J_n = \left[ f'(t) \frac\sin(nt)n \right]_0^1 -
