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Aromātai
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\int x^{4}-3x\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
\int x^{4}\mathrm{d}x+\int -3x\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
\int x^{4}\mathrm{d}x-3\int x\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
\frac{x^{5}}{5}-3\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^{4}\mathrm{d}x ki te \frac{x^{5}}{5}.
\frac{x^{5}}{5}-\frac{3x^{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}. Whakareatia -3 ki te \frac{x^{2}}{2}.
\frac{5^{5}}{5}-\frac{3}{2}\times 5^{2}-\left(\frac{0^{5}}{5}-\frac{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{1175}{2}
Whakarūnātia.