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

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

Aromātai

$$-384$$

Ngā Upane Otinga

Whakareatia te 3 ki te -4, ka -12.

$$\int _{-1}^{3}-12|-4-4|\mathrm{d}x$$

Tangohia te 4 i te -4, ka -8.

$$\int _{-1}^{3}-12|-8|\mathrm{d}x$$

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 -8 ko 8.

$$\int _{-1}^{3}-12\times 8\mathrm{d}x$$

Whakareatia te -12 ki te 8, ka -96.

$$\int _{-1}^{3}-96\mathrm{d}x$$

Aromātaitia te tau tōpū tautuhi-kore i te tuatahi.

$$\int -96\mathrm{d}x$$

Kimihia te tau tōpū o -96 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.

$$-96x$$

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.

$$-96\times 3+96\left(-1\right)$$

Whakarūnātia.

$$-384$$