Question 17
The constant $a$ is such that $\displaystyle\int_1^a 6x\ln x\,\mathrm{d}x = 4$.
(In part (a) it was shown that $a = \exp\left(\frac{1}{6}\left(\frac{5}{a^2}+3\right)\right)$.)
**(c)** Use an iterative formula based on the equation in part **(a)** to determine $a$ correct to 2 decimal places. Give the result of each iteration to 4 decimal places.
(In part (a) it was shown that $a = \exp\left(\frac{1}{6}\left(\frac{5}{a^2}+3\right)\right)$.)
**(c)** Use an iterative formula based on the equation in part **(a)** to determine $a$ correct to 2 decimal places. Give the result of each iteration to 4 decimal places.
