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Ngā Raru Ōrite mai i te Rapu Tukutuku

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\int \sin(x)\mathrm{d}x+\int 2\cos(x)\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
\int \sin(x)\mathrm{d}x+2\int \cos(x)\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
-\cos(x)+2\int \cos(x)\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)+2\sin(x)
Whakamahia te \int \cos(x)\mathrm{d}x=\sin(x) mai i te ripanga o ngā tau tōpū pātahi kia whakaputa i te huanga.
-\cos(x)+2\sin(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.