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Explain solution RD Sharma class 12 chapter 19 Definite Integrals exercise Very short answer type question 8 maths

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Answer: \frac{\pi }{4}

Hint: You must know the integration rules of trigonometric function with its limits

Given: \int_{0}^{1} \frac{1}{x^{2}+1} d x

Solution:  \int_{0}^{1} \frac{1}{x^{2}+1} d x

\begin{aligned} &=\left[\tan ^{-1} 1-\tan ^{-1} 0\right] \\\\ &=\frac{\pi}{4}-0 \\\\ &=\frac{\pi}{4} \end{aligned}


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