Whakaoti i te ∫ (from 0 to pi) of f(x) wrt x

$$\int _ { 0 } ^ { \pi } f ( x ) d x$$

Aromātai

$$\frac{\pi ^{2}f}{2}$$

Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

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

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.

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

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}.

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

Whakarūnātia.

$$\frac{fx^{2}}{2}$$

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.

$$\frac{1}{2}f\pi ^{2}-\frac{1}{2}f\times 0^{2}$$

Whakarūnātia.

$$\frac{f\pi ^{2}}{2}$$

Kimi Pārōnaki e ai ki f

$$\frac{\pi ^ {2}}{2} = 4.934802200544679$$