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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

X乘以sinx的积分x Sinx的不定积分怎样求

How Do You Find The Integral Of E X Sinx Socratic

$\alpha =\sqrt3,\beta =1,\varphi=0\\ 则有\frac{d(e^{\sqrt 3x}sinx)}{dx}= \sqrt3e^{\sqrt 3x}sinx+e^{\sqrt 3x}cosx\\ =2e^{\sqrt3 x}sin(x+\frac{\pi}{6})\\ e^{\sqrt 3x}sinx+C=\int2e^{\sqrt3 x}sin(x+\frac{\pi}{6})dx\\ \frac {e^{\sqrt 3x}sin(x-\frac{\pi}{6})}{2}+C=\int e^{\sqrt3 x}sinxdx$

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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

How Do You Find The Integral Of E X Sinx Socratic

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