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Evaluate: ∫ 2 1 − Cos 2 X D X - Mathematics

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प्रश्न

Evaluate:  \[\int\frac{2}{1 - \cos2x}\text{ dx }\]

योग
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उत्तर

\[\int\frac{2}{1 - \cos2x}dx = \int\frac{2}{2 \sin^2 x}dx\]
\[ = \int {cosec}^2 \text{ x dx }\]
\[ = - \cot x + c\]
\[\text{ Hence, } \int\frac{2}{1 - \cos2x}dx = - \cot x + c .\]

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अध्याय 19: Indefinite Integrals - Very Short Answers [पृष्ठ १९८]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 19 Indefinite Integrals
Very Short Answers | Q 58 | पृष्ठ १९८

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