Whakaoti i te ∫ 4x*6x wrt x

$$\int{ 4x \times 6x }d x$$

Aromātai

$$8x^{3}+С$$

Ngā Upane Otinga

Whakareatia te x ki te x, ka x^{2}.

$$\int 4x^{2}\times 6\mathrm{d}x$$

Whakareatia te 4 ki te 6, ka 24.

$$\int 24x^{2}\mathrm{d}x$$

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.

$$24\int x^{2}\mathrm{d}x$$

Nā te mea \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int x^{2}\mathrm{d}x ki te \frac{x^{3}}{3}. Whakareatia 24 ki te \frac{x^{3}}{3}.

$$8x^{3}$$

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.

$$8x^{3}+С$$

Kimi Pārōnaki e ai ki x

$$24x^{2}$$