Resolver ∫ cscθcotθ

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

Ebaluatu

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

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

Ebazpidea

Aurkitu \frac{\cos(\theta )}{\left(\sin(\theta )\right)^{2}}en integrala integral arrunten taulako \int a\mathrm{d}x=ax araua erabiliz.

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

Sinplifikatu.

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

F\left(x\right) f\left(x\right)ren jatorrizkoa bada, orduan f\left(x\right)ren jatorrizko guztien multzoa ematen du F\left(x\right)+Ck. Beraz, gehitu C\in \mathrm{R} integrazio-konstantea emaitzari.

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

Diferentziatu x balioarekiko

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