Whakaoti i te ∫ left(2*xright)^22 wrt x

$$\int{ { \left(2 \times x \right) }^{ 22 } }d x$$

Aromātai

$$\frac{4194304x^{23}}{23}+С$$

Ngā Upane Otinga

Whakatauwehetia te pūmau mā te whakamahi i te \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.

$$2^{22}\int x^{22}\mathrm{d}x$$

Nā te mea \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int x^{22}\mathrm{d}x ki te \frac{x^{23}}{23}.

$$2^{22}\times \frac{x^{23}}{23}$$

Whakarūnātia.

$$\frac{4194304x^{23}}{23}$$

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.

$$\frac{4194304x^{23}}{23}+С$$

Kimi Pārōnaki e ai ki x

$$4194304x^{22}$$