Réitigh ∫ operatorname{arccosec}(x) wrt x

$$\int \operatorname { arccosec } ( x ) d x$$

Luacháil

$$\frac{x^{2}\arccos(ec)}{2}+С$$

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.

$$\arccos(ec)\int x\mathrm{d}x$$

Ó \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} fá choinne k\neq -1, athchuir \int x\mathrm{d}x le \frac{x^{2}}{2}.

$$\arccos(ec)\times \frac{x^{2}}{2}$$

Simpligh.

$$\frac{\arccos(ec)x^{2}}{2}$$

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.

$$\frac{\arccos(ec)x^{2}}{2}+С$$

Difreálaigh w.r.t. x

$$x\arccos(ec)$$