MCQ
$\int \frac{1}{x+x \log x} d x=$ _________ + C.
- A$\frac{-1}{(1+\log x)^2}$
- B$1 + log x$
- C$\log |\log (e x)|$
- D$\frac{\log x}{x}$
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$1.$ The probability that $x_1+x_2+x_3$ is odd, is $x _1+ x _2+ x _3$
$(A)$ $\frac{29}{105}$ $(B)$ $\frac{53}{105}$ $(C)$ $\frac{57}{105}$ $(D)$ $\frac{1}{2}$
$2.$ The probability that $x_1, x_2, x_3$ are in an arithmetic progression, is
$(A)$ $\frac{9}{105}$ $(B)$ $\frac{10}{105}$ $(C)$ $\frac{11}{105}$ $(D)$ $\frac{7}{105}$
Give the answer question $1$ and $2.$