0令In=∫e—xsinnxdx=—e—xsinnx+n∫e—xcosnxdx =—e—xsinnx—ne—xcosnx —n2In。 所以

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解析 令In=∫e—xsinnxdx=—e—xsinnx+n∫e—xcosnxdx
=—e—xsinnx—ne—xcosnx —n2In
所以
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