Whakaoti i te ∫ (from 0 to 2 cos θ) of r ^ 2dr

$$\int _ { 0 } ^ { 2 \cos \theta } r ^ { 2 } d r$$

Aromātai

$$\frac{8\left(\cos(\theta )\right)^{3}}{3}$$

Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int r^{2}\mathrm{d}r$$

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

$$\frac{r^{3}}{3}$$

Ko te tau tōpū tautuhi ko te pārōnaki kōaro o te kīanga i aromātaitia i te tepe tōrunga o te pāwhaitua, tangohia te pārōnaki kōaro i aromātaitia i te tepe tōraro o te pāwhaitua.

$$\frac{1}{3}\times \left(2\cos(\theta )\right)^{3}-\frac{0^{3}}{3}$$

Whakarūnātia.

$$\frac{8\left(\cos(\theta )\right)^{3}}{3}$$

Kimi Pārōnaki e ai ki θ

$$-8\sin(\theta )\left(\cos(\theta )\right)^{2}$$