Whakaoti i te ∫ xydeltaxdeltay

$$\int x y \delta x \delta y$$

Aromātai

$$\frac{x^{3}\left(y\delta \right)^{2}}{3}+С$$

Ngā Upane Otinga

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

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

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

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

Whakareatia te \delta ki te \delta , ka \delta ^{2}.

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

Whakatauwehetia te pūmau mā te whakamahi i te \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.

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

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

$$y^{2}\delta ^{2}\times \frac{x^{3}}{3}$$

Whakarūnātia.

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

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.

$$\frac{y^{2}\delta ^{2}x^{3}}{3}+С$$

Kimi Pārōnaki e ai ki x

$$\left(xy\delta \right)^{2}$$