MCQ
$12 \int \limits_{3}^{b} \frac{1}{\left(x^{2}-1\right)\left(x^{2}-4\right)} d x=\log _{e}\left(\frac{49}{40}\right)$ થાય તેવી $b>3$ ની કિમત ........ છે.
- ✓$6$
- B$3$
- C$5$
- D$9$
$\frac{12}{3} \cdot\left[\frac{1}{4} \ln \left|\frac{x-2}{x+2}\right|-\frac{1}{2} \ln \left|\frac{x-1}{x+1}\right|\right]_{3}^{b}=\log \frac{49}{40}$
$\ln \frac{(b-2)(b+1)^{2}}{(b+2)(b-1)^{2}}=\ln \frac{49}{50}$
$b=6$
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