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Evaluate: ∫ 1 X 2 + 16 D X - Mathematics

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प्रश्न

Evaluate: \[\int\frac{1}{x^2 + 16}\text{ dx }\]

योग
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उत्तर

\[\int\frac{1}{x^2 + 16}dx = \int\frac{1}{x^2 + 4^2}dx\]
 \[ = \frac{1}{4} \tan^{- 1} \frac{x}{4} + c\]
\[\text{ Hence,} \int\frac{1}{x^2 + 16}dx = \frac{1}{4} \tan^{- 1} \frac{x}{4} + c\]
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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 53 | पृष्ठ १९८

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