∫ cscθcotθ eching

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

Baholash

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

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

Yechim qadamlari

\int a\mathrm{d}x=ax umumiy integrallar qoidasi jadvalidan foydalanib, \frac{\cos(\theta )}{\left(\sin(\theta )\right)^{2}} integralini toping.

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

Qisqartirish.

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

Агар F\left(x\right)f\left(x\right) ning dastlabki holati boʻlsa, u holatda f\left(x\right) ning barcha dastlabki holatlari toʻplami F\left(x\right)+C tarafidan belgilanadi. Shu sababli natijaga C\in \mathrm{R} integrallash konstantasini qoʻshing.

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

x ga nisbatan hosilani topish

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