Whakaoti i te ∫ (from 3 to 5) of (3/y)2piy wrt y

$$\int _ { 3 } ^ { 5 } ( \frac { 3 } { y } ) 2 \pi y d y$$

Aromātai

$$12\pi \approx 37.699111843$$

Ngā Upane Otinga

Tuhia te \frac{3}{y}\times 2 hei hautanga kotahi.

$$\int _{3}^{5}\frac{3\times 2}{y}\pi y\mathrm{d}y$$

Tuhia te \frac{3\times 2}{y}\pi hei hautanga kotahi.

$$\int _{3}^{5}\frac{3\times 2\pi }{y}y\mathrm{d}y$$

Me whakakore te y me te y.

$$\int _{3}^{5}3\times 2\pi \mathrm{d}y$$

Whakareatia te 3 ki te 2, ka 6.

$$\int _{3}^{5}6\pi \mathrm{d}y$$

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int 6\pi \mathrm{d}y$$

Kimihia te tau tōpū o 6\pi mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}y=ay.

$$6\pi y$$

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.

$$6\pi \times 5-6\pi \times 3$$

Whakarūnātia.

$$12\pi$$