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Kimi Pārōnaki e ai ki x
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\int x^{2}-2^{2}\mathrm{d}x
Whakaarohia te \left(x+2\right)\left(x-2\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\int x^{2}-4\mathrm{d}x
Tātaihia te 2 mā te pū o 2, kia riro ko 4.
\int x^{2}\mathrm{d}x+\int -4\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
\frac{x^{3}}{3}+\int -4\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}-4x
Kimihia te tau tōpū o -4 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.
\frac{x^{3}}{3}-4x+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.