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  Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise Very Short Answers Question 58

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Answer: -\cot x + c

Hints: You must know about the integral rule of trigonometric functions.

Given: \int \frac{2}{1-\cos 2 x} d x \\


\begin{aligned} &\int \frac{2}{1-\cos 2 x} d x \\ &=\int \frac{2}{2 \sin ^{2} x} d x \\ &=\int \frac{1}{\sin ^{2} x} d x \\ &=\int \operatorname{cosec}^{2} x d x \\ &=-\cot x+c \quad\quad\quad\quad\quad\quad\left[\int \operatorname{cosec}^{2} x d x=-\cot x+c\right] \end{aligned}

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