Aromātai
\frac{x^{3}}{3}+\frac{x^{2}}{2}-2x+С
Kimi Pārōnaki e ai ki x
\left(x-1\right)\left(x+2\right)
Tohaina
Kua tāruatia ki te papatopenga
\int x^{2}+2x-x-2\mathrm{d}x
Me hoatu te āhuatanga tohatoha mā te whakarea ia tau o x-1 ki ia tau o x+2.
\int x^{2}+x-2\mathrm{d}x
Pahekotia te 2x me -x, ka x.
\int x^{2}\mathrm{d}x+\int x\mathrm{d}x+\int -2\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
\frac{x^{3}}{3}+\int x\mathrm{d}x+\int -2\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^{2}\mathrm{d}x ki te \frac{x^{3}}{3}.
\frac{x^{3}}{3}+\frac{x^{2}}{2}+\int -2\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}.
\frac{x^{3}}{3}+\frac{x^{2}}{2}-2x
Kimihia te tau tōpū o -2 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.
\frac{x^{3}}{3}+\frac{x^{2}}{2}-2x+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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