Resolver ∫ csc2θd2θ

$$\int \csc 2 \theta d 2 \theta$$

Ebaluatu

$$\frac{x}{\sin(2d_{2}\theta ^{2})}+С$$

$$d_{2}\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\frac{\sqrt{\frac{2\pi n_{1}}{d_{2}}}}{2}\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =-\frac{\sqrt{\frac{2\pi n_{1}}{d_{2}}}}{2}$$

Ebazpidea

Aurkitu \frac{1}{\sin(2d_{2}\theta ^{2})}en integrala integral arrunten taulako \int a\mathrm{d}x=ax araua erabiliz.

$$\frac{x}{\sin(2d_{2}\theta ^{2})}$$

Sinplifikatu.

$$\frac{x}{\sin(2\theta ^{2}d_{2})}$$

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.

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

Diferentziatu x balioarekiko

$$\frac{1}{\sin(2d_{2}\theta ^{2})}$$