Whakaoti i te ∫ (from 0 to 1) of (2sqrt{y}-sqrt{y}) wrt y

$$\int _ { 0 } ^ { 1 } ( 2 \sqrt { y } - \sqrt { y } ) d y$$

Aromātai

$$\frac{2}{3}\approx 0.666666667$$

Ngā Upane Otinga

Pahekotia te 2\sqrt{y} me -\sqrt{y}, ka \sqrt{y}.

$$\int _{0}^{1}\sqrt{y}\mathrm{d}y$$

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int \sqrt{y}\mathrm{d}y$$

Tuhia anō te \sqrt{y} hei y^{\frac{1}{2}}. Nā te mea \int y^{k}\mathrm{d}y=\frac{y^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int y^{\frac{1}{2}}\mathrm{d}y ki te \frac{y^{\frac{3}{2}}}{\frac{3}{2}}. Whakarūnātia.

$$\frac{2y^{\frac{3}{2}}}{3}$$

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.

$$\frac{2}{3}\times 1^{\frac{3}{2}}-\frac{2}{3}\times 0^{\frac{3}{2}}$$

Whakarūnātia.

$$\frac{2}{3}$$