(a)[4]
Find the $x$-coordinate of $M$, giving your answer to $3$ decimal places.
(b)[5]
With the substitution $u = \sqrt{3}x^2$, determine by integration the exact area of the shaded region enclosed by the curve, the $x$-axis and the line $x = 1$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curve $y = \dfrac{x}{1 + 3x^4}$, for $x \geq 0$, together with its maximum point $M$.