求∫exsin2xdx.

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问题 求∫exsin2xdx.

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答案∫ecsin2xdx=∫ex.[*]∫excos 2xdx, 而 ∫excos 2xdx=cos 2xdex =excos 2x+2∫sin 2x.exdx =excos 2x+2∫sin 2xdex=excos 2x+一2exsin 2x一4∫excos 2xdx, [*]

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