Whakaoti i te ∫ (x^2+y^2) wrt y

$$\int ( x ^ { 2 } + y ^ { 2 } ) d y$$

Aromātai

$$yx^{2}+\frac{y^{3}}{3}+С$$

Ngā Upane Otinga

Kōmitimititia te kīanga tapeke mā te kīanga.

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

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

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

Nā te mea \int y^{k}\mathrm{d}y=\frac{y^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int y^{2}\mathrm{d}y ki te \frac{y^{3}}{3}.

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

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.

$$x^{2}y+\frac{y^{3}}{3}+С$$

Kimi Pārōnaki e ai ki x

$$2xy$$