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Aromātai
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\int 5\sqrt[4]{x}\mathrm{d}x
Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.
5\int \sqrt[4]{x}\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.
4x^{\frac{5}{4}}
Tuhia anō te \sqrt[4]{x} hei x^{\frac{1}{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^{\frac{1}{4}}\mathrm{d}x ki te \frac{x^{\frac{5}{4}}}{\frac{5}{4}}. Whakarūnātia. Whakareatia 5 ki te \frac{4x^{\frac{5}{4}}}{5}.
4\times 4^{\frac{5}{4}}-4\times 1^{\frac{5}{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.
16\sqrt{2}-4
Whakarūnātia.