Whakaoti i te ∫ (from 1 to 2) of 3/t^4dt

$$\int _ { 1 } ^ { 2 } \frac { 3 } { t ^ { 4 } } d t$$

Aromātai

$$\frac{7}{8}=0.875$$

Ngā Upane Otinga

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int \frac{3}{t^{4}}\mathrm{d}t$$

Whakatauwehetia te pūmau mā te whakamahi i te \int af\left(t\right)\mathrm{d}t=a\int f\left(t\right)\mathrm{d}t.

$$3\int \frac{1}{t^{4}}\mathrm{d}t$$

Nā te mea \int t^{k}\mathrm{d}t=\frac{t^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int \frac{1}{t^{4}}\mathrm{d}t ki te -\frac{1}{3t^{3}}. Whakareatia 3 ki te -\frac{1}{3t^{3}}.

$$-\frac{1}{t^{3}}$$

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.

$$-2^{-3}+1^{-3}$$

Whakarūnātia.

$$\frac{7}{8}$$