Solve ∫ partial^2 wrt x/dy

$$\int \frac { \partial ^ { 2 } d x } { d y }$$

Evaluate

$$\frac{x∂^{2}}{dy}+С$$

Solution Steps

Find the integral of \frac{∂^{2}}{dy} using the table of common integrals rule \int a\mathrm{d}x=ax.

$$\frac{∂^{2}}{dy}x$$

Simplify.

$$\frac{∂^{2}x}{dy}$$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$\begin{matrix}\frac{∂^{2}x}{dy}+С_{2},&\end{matrix}$$

Differentiate w.r.t. x

$$\frac{∂^{2}}{dy}$$