E Xsinx積分

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$\int e^xsinxdx\\ =\int sinxde^x\\ =e^xsinx+C-\int e^xcosxdx\\ =e^xsinx+C-\int cosxde^x\\ =e^xsinx-e^xcosx+C-\int e^xsinxdx\\ ∴2\int e^xsinxdx=e^x(sinx-cosx)+C$

$\int e^xsinxdx\\ =\int e^x(sinx-cosx)dx+\int e^xcosxdx\\ =\int (sinx-cosx)de^x+\int e^xcosxdx\\ =e^x(sinx-cosx)+C-\int e^x(cosx+sinx)dx+\int e^xcosxdx\\ =e^x(sinx-cosx)+C-\int e^xsinxdx$

Sinxdx F X Cos X Dx Fx Sinx Dx Xf Sinx Dx

Sinxdx F X Cos X Dx Fx Sinx Dx Xf Sinx Dx

X乘以sinx的积分x Sinx的不定积分怎样求

X乘以sinx的积分x Sinx的不定积分怎样求

Source : pinterest.com

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