Whakaoti i te ∫ (from 1 to 2) of (x^2z) wrt z

$$\int_{ 1 }^{ 2 } ( { x }^{ 2 } z) d z$$

Aromātai

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

Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int x^{2}z\mathrm{d}z$$

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

$$x^{2}\int z\mathrm{d}z$$

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

$$x^{2}\times \frac{z^{2}}{2}$$

Whakarūnātia.

$$\frac{x^{2}z^{2}}{2}$$

Ko te tau tōpū tautuhi ko te pārōnaki kōaro o te kīanga i aromātaitia i te tepe tōrunga o te pāwhaitua, tangohia te pārōnaki kōaro i aromātaitia i te tepe tōraro o te pāwhaitua.

$$\frac{1}{2}x^{2}\times 2^{2}-\frac{1}{2}x^{2}\times 1^{2}$$

Whakarūnātia.

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

Kimi Pārōnaki e ai ki x

$$3x$$