Whakaoti i te ∫ (from -1 to 3) of 3(-20)left|-20-4right| wrt x=

$$\int_{ -1 }^{ 3 } 3(-20) \left| -20-4 \right| d x =$$

Aromātai

$$-5760$$

Ngā Upane Otinga

Whakareatia te 3 ki te -20, ka -60.

$$\int _{-1}^{3}-60|-20-4|\mathrm{d}x$$

Tangohia te 4 i te -20, ka -24.

$$\int _{-1}^{3}-60|-24|\mathrm{d}x$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -24 ko 24.

$$\int _{-1}^{3}-60\times 24\mathrm{d}x$$

Whakareatia te -60 ki te 24, ka -1440.

$$\int _{-1}^{3}-1440\mathrm{d}x$$

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int -1440\mathrm{d}x$$

Kimihia te tau tōpū o -1440 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.

$$-1440x$$

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.

$$-1440\times 3+1440\left(-1\right)$$

Whakarūnātia.

$$-5760$$