1 ∫ 0 1 1 + X 2 D X - Mathematics

प्रश्न

\[\int\limits_0^1 \frac{1}{1 + x^2} dx\]

उत्तर

\[\int_0^1 \frac{1}{1 + x^2} d x\]
\[ = \left[ \tan^{- 1} x \right]_0^1 \]
\[ = \tan^{- 1} 1 - \tan^{- 1} 0\]
\[ = \frac{\pi}{4} - 0\]
\[ = \frac{\pi}{4}\]

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Definite Integrals

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 21 Q 20 Q 22

अध्याय 20: Definite Integrals - Very Short Answers [पृष्ठ ११५]

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आरडी शर्मा Mathematics [English] Class 12

अध्याय 20 Definite Integrals
Very Short Answers | Q 21 | पृष्ठ ११५

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