Whakaoti i te ∫ (from 1 to x) of 3tdt

$$\int _ { 1 } ^ { x } 3 t d t$$

Aromātai

$$\frac{3\left(x^{2}-1\right)}{2}$$

Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int 3t\mathrm{d}t$$

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

$$3\int t\mathrm{d}t$$

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

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

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.

$$\frac{3}{2}x^{2}-\frac{3}{2}\times 1^{2}$$

Whakarūnātia.

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

Kimi Pārōnaki e ai ki x

$$3x$$