x*(sinx)^m在(0,π)的【定积分】其中m为自然数:令:x=π-t∫(0,π) xsin^mxdx=∫(π,0) (π-t)sin^m(π-t)d(π-t)=∫(0,π) πsin^mtdt -∫(0,π) tsin^mtdt= π∫(0,π) sin^mtdt -∫(0,π) xsin^mxdx【此项左移】= π/2∫(0,π) sin^mtdt= π/2∫(0,π/2) sin^mtdt + π/2∫(π/2,π) sin^mtdt令:x=π-t= π/2∫(0,π/2) sin^mtdt + π/2∫(0,π/2) sin^mxdx= π∫(0,π/2) sin^mxdx① = π[(m-1...
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