Whakaoti i te ∫ 3y+7 wrt y

$$\int{ 3y+7 }d y$$

Aromātai

$$\frac{3y^{2}}{2}+7y+С$$

Ngā Upane Otinga

Kōmitimititia te kīanga tapeke mā te kīanga.

$$\int 3y\mathrm{d}y+\int 7\mathrm{d}y$$

Whakatauwehea te pūmau i ēnei kīanga katoa.

$$3\int y\mathrm{d}y+\int 7\mathrm{d}y$$

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 3 ki te \frac{y^{2}}{2}.

$$\frac{3y^{2}}{2}+\int 7\mathrm{d}y$$

Kimihia te tau tōpū o 7 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}y=ay.

$$\frac{3y^{2}}{2}+7y$$

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.

$$\frac{3y^{2}}{2}+7y+С$$

Kimi Pārōnaki e ai ki y

$$3y+7$$