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

Tohaina

\int 1-t^{0}\mathrm{d}t
Whakareatia te 0 ki te 52, ka 0.
\int 1-1\mathrm{d}t
Tātaihia te t mā te pū o 0, kia riro ko 1.
\int 0\mathrm{d}t
Tangohia te 1 i te 1, ka 0.
0
Kimihia te tau tōpū o 0 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}t=at.
С
Mēnā ko F\left(t\right) he pārōnaki kōaro o f\left(t\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(t\right) ka whakaaturia e F\left(t\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.