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\int 2x^{8}+7x^{7}\mathrm{d}x
Whakamahia te āhuatanga tohatoha hei whakarea te x^{7} ki te 2x+7.
\int 2x^{8}\mathrm{d}x+\int 7x^{7}\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
2\int x^{8}\mathrm{d}x+7\int x^{7}\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
\frac{2x^{9}}{9}+7\int x^{7}\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^{8}\mathrm{d}x ki te \frac{x^{9}}{9}. Whakareatia 2 ki te \frac{x^{9}}{9}.
\frac{2x^{9}}{9}+\frac{7x^{8}}{8}
Nā te mea \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int x^{7}\mathrm{d}x ki te \frac{x^{8}}{8}. Whakareatia 7 ki te \frac{x^{8}}{8}.
\frac{2x^{9}}{9}+\frac{7x^{8}}{8}+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.