Réitigh ∫ frac{1/2sqrt{2}}{u-sqrt{2}}

$$\int \frac { \frac { 1 } { 2 \sqrt { 2 } } } { u - \sqrt { 2 } }$$

Luacháil

$$\frac{\sqrt{2}x}{4\left(u-\sqrt{2}\right)}+С$$

Céimeanna Réitigh

Aimsigh suimeálaithe do \frac{1}{2\sqrt{2}\left(u-\sqrt{2}\right)} ag baint úsáid as an tábla do suimeálaithe coitianta riail\int a\mathrm{d}x=ax.

$$\frac{1}{2\sqrt{2}\left(u-\sqrt{2}\right)}x$$

Simpligh.

$$\frac{\sqrt{2}x}{4\left(u-\sqrt{2}\right)}$$

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.

$$\frac{\sqrt{2}x}{4\left(u-\sqrt{2}\right)}+С$$

Difreálaigh w.r.t. x

$$\frac{\sqrt{2}}{4\left(u-\sqrt{2}\right)}$$