Aromātai
-\frac{x^{3}}{3}+x+С
Kimi Pārōnaki e ai ki x
1-x^{2}
Tohaina
Kua tāruatia ki te papatopenga
\int 1\mathrm{d}x+\int -x^{2}\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
\int 1\mathrm{d}x-\int x^{2}\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
x-\int x^{2}\mathrm{d}x
Kimihia te tau tōpū o 1 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.
x-\frac{x^{3}}{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 -1 ki te \frac{x^{3}}{3}.
x-\frac{x^{3}}{3}+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.
Ngā Tauira
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