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Question Number 136892 by Rayan1997 last updated on 27/Mar/21

$$\int \frac{d^{2}y}{{dx}^2}dy$$$$$$

Answered by Olaf last updated on 27/Mar/21

$$\mathrm{F}\left(x\right)=\int \frac{d^{2}y}{{dx}^2}dy$$$$\mathrm{F}\left(x\right)=\int \left(\frac{d^{2}y}{{dx}^2}\right)\left(\frac{dy}{dx}\right)dx$$$$\mathrm{F}\left(x\right)=\int y^{″}{y}^{\prime }dx$$$$\mathrm{F}\left(x\right)=\frac{1}{2}{y}^{\prime 2}+\mathrm{C}$$

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