Réitigh ∫ ccosx/sin^2(w) wrt x

$$\int \frac { c \cos x } { \sin ^ { 2 } ( w ) } d x$$

Luacháil

$$\frac{c\sin(x)}{\left(\sin(w)\right)^{2}}+С$$

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.

$$\frac{c}{\left(\sin(w)\right)^{2}}\int \cos(x)\mathrm{d}x$$

Bain úsáid as \int \cos(c)\mathrm{d}c=\sin(c) ón tábla do suimeálaithe coitianta chun an toradh a fháil.

$$\frac{c}{\left(\sin(w)\right)^{2}}\sin(x)$$

Simpligh.

$$\frac{c\sin(x)}{\left(\sin(w)\right)^{2}}$$

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.

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

Difreálaigh w.r.t. x

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