Datrys ∫ frac{1/2sqrt{2}}{u-sqrt{2}}

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

Enrhifo

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

Camau Ateb

Canfod integryn \frac{1}{2\sqrt{2}\left(u-\sqrt{2}\right)} gan ddefnyddio'r rheol tabl o integrynnau cyffredin \int a\mathrm{d}x=ax.

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

Symleiddio.

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

Os yw F\left(x\right) yn integryn amhendant o f\left(x\right), yna bydd F\left(x\right)+C yn rhoi’r set o holl integrynnau amhendant f\left(x\right). Felly, ychwanegwch gysonyn yr integryn C\in \mathrm{R} at y canlyniad.

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

Gwahaniaethu w.r.t. x

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