Question 15
The constant $a$ is such that $\displaystyle\int_1^a 6x\ln x\,\mathrm{d}x = 4$.
**(a)** Show that $a = \exp\left(\frac{1}{6}\left(\frac{5}{a^2}+3\right)\right)$, where $\exp(x)$ denotes $\mathrm{e}^x$.
**(a)** Show that $a = \exp\left(\frac{1}{6}\left(\frac{5}{a^2}+3\right)\right)$, where $\exp(x)$ denotes $\mathrm{e}^x$.
