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2\int n\mathrm{d}n
Whakatauwehetia te pūmau mā te whakamahi i te \int af\left(n\right)\mathrm{d}n=a\int f\left(n\right)\mathrm{d}n.
n^{2}
Nā te mea \int n^{k}\mathrm{d}n=\frac{n^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int n\mathrm{d}n ki te \frac{n^{2}}{2}. Whakareatia 2 ki te \frac{n^{2}}{2}.
n^{2}+С
Mēnā ko F\left(n\right) he pārōnaki kōaro o f\left(n\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(n\right) ka whakaaturia e F\left(n\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.