Réitigh ∫ cscθcotθ

$$\int \csc \theta \cot \theta$$

Luacháil

$$\frac{x\cot(\theta )}{\sin(\theta )}+С$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}$$

Céimeanna Réitigh

Aimsigh suimeálaithe do \frac{\cos(\theta )}{\left(\sin(\theta )\right)^{2}} ag baint úsáid as an tábla do suimeálaithe coitianta riail\int a\mathrm{d}x=ax.

$$\frac{\cos(\theta )}{\left(\sin(\theta )\right)^{2}}x$$

Simpligh.

$$\frac{\cos(\theta )x}{\left(\sin(\theta )\right)^{2}}$$

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.

$$\begin{matrix}\frac{\cos(\theta )x}{\left(\sin(\theta )\right)^{2}}+С_{3},&\end{matrix}$$

Difreálaigh w.r.t. x

$$\frac{\cot(\theta )}{\sin(\theta )}$$