MCQ
$\int\limits_{1/2}^2 {\frac{1}{x}} \sin \left( {x - \frac{1}{x}} \right)dx = $
- ✓$0$
- B$\frac{3}{4}$
- C$\frac{5}{4}$
- D$2$
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$(1,1)(-1,1),(1,-1),(-1,-1),(-2,1)(2,-1),(-1,2)$ and $(-2,-1)$
$\mathrm{f}(\mathrm{x})= \int_{0}^{x}[y] \,d y$
Where $[x]$ is the greatest integer less than or equal to $x$. Which of the following is true?
$\alpha \log _{\mathrm{e}}|1+\tan \mathrm{x}|+\beta \log _{\mathrm{c}}\left|1-\tan \mathrm{x}+\tan ^{2} \mathrm{x}\right|+\gamma \tan ^{-1}\left(\frac{2 \tan \mathrm{x}-1}{\sqrt{3}}\right)+\mathrm{C}$
when $\mathrm{C}$ is constant of integration, then the value of $18\left(\alpha+\beta+\gamma^{2}\right)$ is .... .