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Aromātai
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\int _{1}^{2}\frac{x^{2}}{2x}\mathrm{d}x
Tuhia te \frac{\frac{x^{2}}{2}}{x} hei hautanga kotahi.
\int _{1}^{2}\frac{x}{2}\mathrm{d}x
Me whakakore tahi te x i te taurunga me te tauraro.
\int \frac{x}{2}\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
\frac{\int x\mathrm{d}x}{2}
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.
\frac{x^{2}}{4}
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}.
\frac{2^{2}}{4}-\frac{1^{2}}{4}
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{3}{4}
Whakarūnātia.