Whakaoti i te ∫ -210824*107^x wrt x

$$\int{ -210824 \times { 107 }^{ x } }d x$$

Aromātai

$$-\frac{210824\times 107^{x}}{\ln(107)}+С$$

Ngā Upane Otinga

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

$$-210824\int 107^{x}\mathrm{d}x$$

Whakamahia te \int p^{q}\mathrm{d}q=\frac{p^{q}}{\ln(p)} mai i te ripanga o ngā tau tōpū pātahi kia whakaputa i te huanga.

$$-210824\times \frac{107^{x}}{\ln(107)}$$

Whakarūnātia.

$$-\frac{210824\times 107^{x}}{\ln(107)}$$

Mēnā ko F\left(x\right) he pārōnaki kōaro o f\left(x\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(x\right) ka whakaaturia e F\left(x\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.

$$-\frac{210824\times 107^{x}}{\ln(107)}+С$$

Kimi Pārōnaki e ai ki x

$$-210824\times 107^{x}$$