Tim Gan Math
Sign up free

Integration - Area Enclosed by the Curve and the X-Axis

Integration - Area Enclosed by the Curve and the X-Axis

TGM Original Questions
  1. Find the stationary points of the curve \(y = x^2 (x - 2)(x + 3)\) and state their nature.
  2. Sketch the curve.
  3. Find the total area bounded by the curve and the \(x\)-axis.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create free accountSign inIP Math tuition

Create a free account to practise similar questions.

Create free accountSign inIP Math tuition
Answer:(a) Minima at \(\left(\dfrac{-3-\sqrt{201}}8,-\dfrac{5499+201\sqrt{201}}{512}\right)\) and \(\left(\dfrac{-3+\sqrt{201}}8,\dfrac{-5499+201\sqrt{201}}{512}\right)\); maximum at \((0,0)\); (c) \(\dfrac{125}{4}\text{ units}^2\)

Need help? Join our IP Math tuition programme.

Learn more