Whakaoti i te ∫ 2(x+y)=

$$\int 2 ( x + y ) =$$

Aromātai

$$x^{2}+2xy+С$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+y.

$$\int 2x+2y\mathrm{d}x$$

Kōmitimititia te kīanga tapeke mā te kīanga.

$$\int 2x\mathrm{d}x+\int 2y\mathrm{d}x$$

Whakatauwehea te pūmau i ēnei kīanga katoa.

$$2\int x\mathrm{d}x+2\int y\mathrm{d}x$$

Nā te mea \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int x\mathrm{d}x ki te \frac{x^{2}}{2}. Whakareatia 2 ki te \frac{x^{2}}{2}.

$$x^{2}+2\int y\mathrm{d}x$$

Kimihia te tau tōpū o y mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.

$$x^{2}+2yx$$

Mēnā ko F\left(x\right) he pārōnaki kōaro o f\left(x\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(x\right) ka whakaaturia e F\left(x\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.

$$x^{2}+2yx+С$$

Kimi Pārōnaki e ai ki x

$$2\left(x+y\right)$$