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Aromātai
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\int x^{2}+4x\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
\int x^{2}\mathrm{d}x+\int 4x\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
\int x^{2}\mathrm{d}x+4\int x\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
\frac{x^{3}}{3}+4\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^{2}\mathrm{d}x ki te \frac{x^{3}}{3}.
\frac{x^{3}}{3}+2x^{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}. Whakareatia 4 ki te \frac{x^{2}}{2}.
\frac{4^{3}}{3}+2\times 4^{2}-\left(\frac{0^{3}}{3}+2\times 0^{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{160}{3}
Whakarūnātia.