Whakaoti i te ∫ (from r to sqrt { alpha ^ 2) of - r}r wrt z

$$\int _ { r } ^ { \sqrt { \alpha ^ { 2 } - r } } r d z$$

Aromātai

$$r\left(\sqrt{\alpha ^{2}-r}-r\right)$$

$$r\leq \alpha ^{2}$$

Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int r\mathrm{d}z$$

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

$$rz$$

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.

$$r\left(\alpha ^{2}-r\right)^{\frac{1}{2}}-rr$$

Whakarūnātia.

$$r\left(\sqrt{\alpha ^{2}-r}-r\right)$$

Kimi Pārōnaki e ai ki r

$$\frac{\alpha ^{2}}{\sqrt{\alpha ^{2}-r}}-2r-\frac{3r}{2\sqrt{\alpha ^{2}-r}}$$