Réitigh ∫ cos2θ/cosθdt

$$\int \frac { \cos 2 \theta } { \cos \theta } d t$$

Luacháil

$$\frac{t\cos(2\theta )}{\cos(\theta )}+С$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}+\frac{\pi }{2}$$

Céimeanna Réitigh

Aimsigh suimeálaithe do \frac{\cos(2\theta )}{\cos(\theta )} ag baint úsáid as an tábla do suimeálaithe coitianta riail\int a\mathrm{d}t=at.

$$\frac{\cos(2\theta )}{\cos(\theta )}t$$

Simpligh.

$$\frac{\cos(2\theta )t}{\cos(\theta )}$$

Má tá F\left(t\right) mar frithdhíorthach do f\left(t\right), beidh tacar do frithdhíorthach uile do f\left(t\right) a thabhairt ag F\left(t\right)+C. Mar sin de, cur an comhtháthú leanúnach C\in \mathrm{R} don toradh.

$$\begin{matrix}\frac{\cos(2\theta )t}{\cos(\theta )}+С_{3},&\end{matrix}$$

Difreálaigh w.r.t. θ

$$t\left(\frac{\cos(2\theta )\tan(\theta )}{\cos(\theta )}-4\sin(\theta )\right)$$