MCQ
Solve: $\int\frac{\text{x}^2+1}{\text{x}^2+1}\text{dx}=$
- A$1 + C$
- B$x^2 + C$
- ✓$x + C$
- D$0$
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$1.$ If $1$ ball is drawn from each of the boxes $B_1, B_2$ and $B_3$, the probability that all $3$ drawn balls are of the same colour is
$(A)$ $\frac{82}{648}$ $(B)$ $\frac{90}{648}$ $(C)$ $\frac{558}{648}$ $(D)$ $\frac{566}{648}$
$2.$ If $2$ balls are drawn (without replacement) from a randomly selected box and one of the balls is white and the other ball is red, the probability that these $2$ balls are drawn from bo $B _2$ is
$(A)$ $\frac{116}{181}$ $(B)$ $\frac{126}{181}$ $(C)$ $\frac{65}{181}$ $(D)$ $\frac{55}{181}$
Give the answer question $1$ and $2.$
$I.$ $f$ has a zero in $(0,1)$
$II.$ $f$ is monotone in $(0,1)$ Then,