Question 4 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2009
Session	November
Topic	Standard Integrals and Reverse Chain Rule

4 The equation of a curve is \(y = x ^ { 4 } + 4 x + 9\).

Find the coordinates of the stationary point on the curve and determine its nature.
Find the area of the region enclosed by the curve, the \(x\)-axis and the lines \(x = 0\) and \(x = 1\).