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

Tohaina

\int \sin(x)\mathrm{d}x+\int -1\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
-\cos(x)+\int -1\mathrm{d}x
Whakamahia te \int \sin(x)\mathrm{d}x=-\cos(x) mai i te ripanga o ngā tau tōpū pātahi kia whakaputa i te huanga.
-\cos(x)-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.
-\cos(x)-x+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.