∫ -210824*107^x wrt x eching

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

Baholash

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

Yechim qadamlari

\int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x yordamidan konstantani qavsdan tashqariga chiqaring.

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

Natijani olish uchun umumiy integrallar jadvalidagi \int p^{q}\mathrm{d}q=\frac{p^{q}}{\ln(p)} integralidan foydalaning.

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

Qisqartirish.

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

Агар F\left(x\right)f\left(x\right) ning dastlabki holati boʻlsa, u holatda f\left(x\right) ning barcha dastlabki holatlari toʻplami F\left(x\right)+C tarafidan belgilanadi. Shu sababli natijaga C\in \mathrm{R} integrallash konstantasini qoʻshing.

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

x ga nisbatan hosilani topish

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