(a)[4]
Determine the exact coordinates of $M$.
(b)[6]
Using integration by parts, prove that for all $a > 1$, $\int_1^a \frac{\ln x}{x^4}\,dx < \frac{1}{9}$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The graph depicts the curve $y = \frac{\ln x}{x^4}$ and its highest point $M$.