Réitigh ∫ 2^x/9e^4+4 wrt x

$$\int \frac { 2 ^ { x } } { 9 e ^ { 4 } + 4 } d x$$

Luacháil

$$\frac{2^{x}}{\left(9e^{4}+4\right)\ln(2)}+С$$

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.

$$\frac{\int 2^{x}\mathrm{d}x}{9e^{4}+4}$$

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

$$\frac{2^{x}}{\ln(2)\left(9e^{4}+4\right)}$$

Simpligh.

$$\frac{2^{x}}{\left(9e^{4}+4\right)\ln(2)}$$

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.

$$\frac{2^{x}}{\left(9e^{4}+4\right)\ln(2)}+С$$

Difreálaigh w.r.t. x

$$\frac{2^{x}}{9e^{4}+4}$$