Question 16
The constant $a$ is such that $\displaystyle\int_1^a 6x\ln x\,\mathrm{d}x = 4$.
(In part (a) it was shown that $a = \exp\left(\frac{1}{6}\left(\frac{5}{a^2}+3\right)\right)$.)
**(b)** Verify by calculation that $a$ lies between 2 and 2.1.
(In part (a) it was shown that $a = \exp\left(\frac{1}{6}\left(\frac{5}{a^2}+3\right)\right)$.)
**(b)** Verify by calculation that $a$ lies between 2 and 2.1.
