Réitigh ∫ -210824*107^x wrt x

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

Luacháil

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

Céimeanna Réitigh

Fág an úsáid leanúnach do\int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x as an áireamh.

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

Bain úsáid as \int p^{q}\mathrm{d}q=\frac{p^{q}}{\ln(p)} ón tábla do suimeálaithe coitianta chun an toradh a fháil.

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

Simpligh.

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

Má tá F\left(x\right) mar frithdhíorthach do f\left(x\right), beidh tacar do frithdhíorthach uile do f\left(x\right) a thabhairt ag F\left(x\right)+C. Mar sin de, cur an comhtháthú leanúnach C\in \mathrm{R} don toradh.

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

Difreálaigh w.r.t. x

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