Riješi ∫ cscθcotθ

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

Izračunaj

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

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

Koraci rješenja

Pronađite integral \frac{\cos(\theta )}{\left(\sin(\theta )\right)^{2}} pomoću tablice uobičajene integrali pravila \int a\mathrm{d}x=ax.

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

Pojednostavnite.

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

Ako je F\left(x\right) antiderivat f\left(x\right), skup svih antiderivata f\left(x\right) je dan u F\left(x\right)+C. Stoga dodajte konstantu integracije C\in \mathrm{R} rezultatu.

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

Diferenciraj u odnosu na x

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