Whakaoti i te ∫ (from 2 to 4) of 4-y wrt y

$$\int_{ 2 }^{ 4 } 4-y d y$$

Aromātai

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Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int 4-y\mathrm{d}y$$

Kōmitimititia te kīanga tapeke mā te kīanga.

$$\int 4\mathrm{d}y+\int -y\mathrm{d}y$$

Whakatauwehea te pūmau i ēnei kīanga katoa.

$$\int 4\mathrm{d}y-\int y\mathrm{d}y$$

Kimihia te tau tōpū o 4 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}y=ay.

$$4y-\int y\mathrm{d}y$$

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 -1 ki te \frac{y^{2}}{2}.

$$4y-\frac{y^{2}}{2}$$

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.

$$4\times 4-\frac{4^{2}}{2}-\left(4\times 2-\frac{2^{2}}{2}\right)$$

Whakarūnātia.

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