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Aromātai
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\int 56x-x\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
\int 56x\mathrm{d}x+\int -x\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
56\int x\mathrm{d}x-\int x\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
28x^{2}-\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\mathrm{d}x ki te \frac{x^{2}}{2}. Whakareatia 56 ki te \frac{x^{2}}{2}.
28x^{2}-\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}. Whakareatia -1 ki te \frac{x^{2}}{2}.
\frac{55x^{2}}{2}
Whakarūnātia.
\frac{55}{2}\times 3^{2}-\frac{55}{2}\times 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{275}{2}
Whakarūnātia.