Whakaoti i te ∫ (from 0 to 2) of 5438x7/25x wrt x

$$\int_{ 0 }^{ 2 } 5438x \frac{ 7 }{ 25 } x d x$$

Aromātai

$$\frac{304528}{75}\approx 4060.373333333$$

Ngā Upane Otinga

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

$$\int _{0}^{2}5438x^{2}\times \frac{7}{25}\mathrm{d}x$$

Tuhia te 5438\times \frac{7}{25} hei hautanga kotahi.

$$\int _{0}^{2}\frac{5438\times 7}{25}x^{2}\mathrm{d}x$$

Whakareatia te 5438 ki te 7, ka 38066.

$$\int _{0}^{2}\frac{38066}{25}x^{2}\mathrm{d}x$$

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int \frac{38066x^{2}}{25}\mathrm{d}x$$

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.

$$\frac{38066\int x^{2}\mathrm{d}x}{25}$$

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}.

$$\frac{38066x^{3}}{75}$$

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.

$$\frac{38066}{75}\times 2^{3}-\frac{38066}{75}\times 0^{3}$$

Whakarūnātia.

$$\frac{304528}{75}$$