Whakaoti i te d ∫ f(x) wrt x=f(x)dx

$$d \int f ( x ) d x = f ( x ) d x$$

Whakaoti mō d (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&С=\frac{fx^{2}}{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te x ki te x, ka x^{2}.

$$d\int fx\mathrm{d}x=fx^{2}d$$

Tangohia te fx^{2}d mai i ngā taha e rua.

$$d\int fx\mathrm{d}x-fx^{2}d=0$$

Whakaraupapatia anō ngā kīanga tau.

$$d\int fx\mathrm{d}x-dfx^{2}=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te d.

$$\left(\int fx\mathrm{d}x-fx^{2}\right)d=0$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{fx^{2}}{2}+С\right)d=0$$

Whakawehe 0 ki te С-\frac{1}{2}fx^{2}.

$$d=0$$

Whakaoti mō d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&С=\frac{fx^{2}}{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te x ki te x, ka x^{2}.

$$d\int fx\mathrm{d}x=fx^{2}d$$

Tangohia te fx^{2}d mai i ngā taha e rua.

$$d\int fx\mathrm{d}x-fx^{2}d=0$$

Whakaraupapatia anō ngā kīanga tau.

$$d\int fx\mathrm{d}x-dfx^{2}=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te d.

$$\left(\int fx\mathrm{d}x-fx^{2}\right)d=0$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{fx^{2}}{2}+С\right)d=0$$

Whakawehe 0 ki te С-\frac{1}{2}fx^{2}.

$$d=0$$

Whakaoti mō f (complex solution)

$$f\in \mathrm{C}$$

$$С=0\text{ or }d=0$$

Whakaoti mō f

$$f\in \mathrm{R}$$

$$С=0\text{ or }d=0$$