Whakaoti i te ∫ (from 50 to 100) of y(x) wrt x

$$\int_{ 50 }^{ 100 } y(x) d x$$

Aromātai

$$3750y$$

Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int yx\mathrm{d}x$$

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.

$$y\int x\mathrm{d}x$$

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

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

Whakarūnātia.

$$\frac{yx^{2}}{2}$$

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.

$$\frac{1}{2}y\times 100^{2}-\frac{1}{2}y\times 50^{2}$$

Whakarūnātia.

$$3750y$$

Kimi Pārōnaki e ai ki y

$$3750$$