Tīpoka ki ngā ihirangi matua
Aromātai
Tick mark Image

Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\int 2\times 5x^{2}\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
2\times 5\int x^{2}\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.
2\times 5\times \frac{x^{3}}{3}
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{10x^{3}}{3}
Whakarūnātia.
\frac{10}{3}\times 2^{3}-\frac{10}{3}\times 1^{3}
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{70}{3}
Whakarūnātia.