Tīpoka ki ngā ihirangi matua
Aromātai
Tick mark Image

Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\int 36+x\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
\int 36\mathrm{d}x+\int x\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
36x+\int x\mathrm{d}x
Kimihia te tau tōpū o 36 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.
36x+\frac{x^{2}}{2}
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}.
36\times 9+\frac{9^{2}}{2}-\left(36\times 2+\frac{2^{2}}{2}\right)
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{581}{2}
Whakarūnātia.