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Aromātai
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Tohaina

\int -6x^{2}\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
-6\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.
-2x^{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}. Whakareatia -6 ki te \frac{x^{3}}{3}.
-2\times 2^{3}+2\times 0^{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.
-16
Whakarūnātia.