Whakaoti i te ∫ (a^2+2b)da

$$\int ( a ^ { 2 } + 2 b ) d a$$

Aromātai

$$\frac{a^{3}}{3}+2ab+С$$

Ngā Upane Otinga

Kōmitimititia te kīanga tapeke mā te kīanga.

$$\int a^{2}\mathrm{d}a+\int 2b\mathrm{d}a$$

Whakatauwehea te pūmau i ēnei kīanga katoa.

$$\int a^{2}\mathrm{d}a+2\int b\mathrm{d}a$$

Nā te mea \int a^{k}\mathrm{d}a=\frac{a^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int a^{2}\mathrm{d}a ki te \frac{a^{3}}{3}.

$$\frac{a^{3}}{3}+2\int b\mathrm{d}a$$

Kimihia te tau tōpū o b mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}a=aa.

$$\frac{a^{3}}{3}+2ba$$

Mēnā ko F\left(a\right) he pārōnaki kōaro o f\left(a\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(a\right) ka whakaaturia e F\left(a\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.

$$\frac{a^{3}}{3}+2ba+С$$

Kimi Pārōnaki e ai ki a

$$a^{2}+2b$$