MCQ
$\int_{0}^{1}\frac{\text{x}}{1+\text{x}}\text{dx}=$
- ✓$1-\log2$
- B$2$
- C$1+\log 2$
- D$\log2$
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| Column $I$ | Column $II$ |
| $(A)$ $x|x|$ | $(p)$ continuous in $(-1,1)$ |
| $(B)$ $\sqrt{|x|}$ | $(q)$ differentiable in $(-1,1)$ |
| $(C)$ $\mathrm{x}+[\mathrm{x}]$ | $(r)$ strictly increasing in $(-1,1)$ |
| $(D)$ $|x-1|+|x+1|$ | $(s)$ not differentiable at least at one point in $(-1,1)$ |