Aromātai
\frac{5x^{2}}{2}-8x+С
Kimi Pārōnaki e ai ki x
5x-8
Tohaina
Kua tāruatia ki te papatopenga
\int 5x\mathrm{d}x+\int -8\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
5\int x\mathrm{d}x+\int -8\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
\frac{5x^{2}}{2}+\int -8\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 5 ki te \frac{x^{2}}{2}.
\frac{5x^{2}}{2}-8x
Kimihia te tau tōpū o -8 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.
\frac{5x^{2}}{2}-8x+С
Mēnā ko F\left(x\right) he pārōnaki kōaro o f\left(x\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(x\right) ka whakaaturia e F\left(x\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.
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