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प्रश्न
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उत्तर
\[Let I = \int_0^1 \frac{1}{1 + x^2} d x . Then, \]
\[I = \left[ \tan^{- 1} x \right]_0^1 \]
\[ \Rightarrow I = \tan^{- 1} 1 - \tan^{- 1} 0\]
\[ \Rightarrow I = \frac{\pi}{4} - 0\]
\[ \Rightarrow I = \frac{\pi}{4}\]
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