Mathematics

$$\displaystyle\int^1_0\tan^{-1}\left[\dfrac{2x-1}{1+x-x^2}\right]dx=?$$


ANSWER

$$0$$


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Single Correct Medium Published on 17th 09, 2020
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Q1 Assertion & Reason Hard
ASSERTION

If $$f(x) = \displaystyle \int_{1}^{x}\frac{lntdt}{1+t+t^{2}}\left ( x> 0 \right )$$ then $$f(x) = -f\displaystyle \left ( \frac{1}{x} \right )$$

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