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Question Number 189382 by TUN last updated on 15/Mar/23

Answered by Ar Brandon last updated on 15/Mar/23

$$\mathrm{Use}\mathrm{integration}\mathrm{by}\mathrm{parts}\mathrm{with};$$$$a.\mathrm{u}\left(x\right)=x^3+1\mathrm{and}{\mathrm{v}}^{\prime }\left(x\right)=e^{3x-2}$$$$b.\mathrm{u}\left(x\right)=3x^2-x+2\mathrm{and}{\mathrm{v}}^{\prime }\left(x\right)=e^{x-2}$$$$c.\mathrm{u}\left(x\right)=x^4-2x\mathrm{and}{\mathrm{v}}^{\prime }\left(x\right)=\sin (3-x)$$$$d.\mathrm{u}\left(x\right)=\cos \left(\pi x\right)\mathrm{and}{\mathrm{v}}^{\prime }\left(x\right)=e^{2x}$$

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