Whakaoti i te ∫ 2(y-1) wrt y

$$\int{ 2(y-1) }d y$$

Aromātai

$$y^{2}-2y+С$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y-1.

$$\int 2y-2\mathrm{d}y$$

Kōmitimititia te kīanga tapeke mā te kīanga.

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

Whakatauwehea te pūmau i ēnei kīanga katoa.

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

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

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

Kimihia te tau tōpū o -2 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}y=ay.

$$y^{2}-2y$$

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

$$y^{2}-2y+С$$

Kimi Pārōnaki e ai ki y

$$2\left(y-1\right)$$