Whakaoti i te ∫ (2^x+1) wrt x

$$\int ( 2 ^ { x } + 1 ) d x$$

Aromātai

$$\frac{2^{x}}{\ln(2)}+x+С$$

Ngā Upane Otinga

Kōmitimititia te kīanga tapeke mā te kīanga.

$$\int 2^{x}\mathrm{d}x+\int 1\mathrm{d}x$$

Whakamahia te \int a^{b}\mathrm{d}b=\frac{a^{b}}{\ln(a)} mai i te ripanga o ngā tau tōpū pātahi kia whakaputa i te huanga.

$$\frac{2^{x}}{\ln(2)}+\int 1\mathrm{d}x$$

Kimihia te tau tōpū o 1 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.

$$\frac{2^{x}}{\ln(2)}+x$$

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.

$$\frac{2^{x}}{\ln(2)}+x+С$$

Kimi Pārōnaki e ai ki x

$$2^{x}+1$$