Tīpoka ki ngā ihirangi matua
Aromātai
Tick mark Image
Kimi Pārōnaki e ai ki x
Tick mark Image

Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\int -7x^{9}\mathrm{d}x+\int 10\mathrm{d}x
Kōmitimititia te kīanga tapeke mā te kīanga.
-7\int x^{9}\mathrm{d}x+\int 10\mathrm{d}x
Whakatauwehea te pūmau i ēnei kīanga katoa.
-\frac{7x^{10}}{10}+\int 10\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^{9}\mathrm{d}x ki te \frac{x^{10}}{10}. Whakareatia -7 ki te \frac{x^{10}}{10}.
-\frac{7x^{10}}{10}+10x
Kimihia te tau tōpū o 10 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.
-\frac{7x^{10}}{10}+10x+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.