Question 9 - A-Level Maths

1. Find $$\int \left( 4 x - x ^ { 3 } \right) d x$$ 9
(ii) Evaluate $$\int _ { - 2 } ^ { 2 } \left( 4 x - x ^ { 3 } \right) \mathrm { d } x$$
9
Using a sketch, explain why the integral in part (a)(ii) does not give the area enclosed
between the curve $y = 4 x - x ^ { 3 }$ and the $x$-axis.
between the curve $y = 4 x - x ^ { 3 }$ and the $x$-axis. [2 marks] 9
Find the area enclosed between the curve $y = 4 x - x ^ { 3 }$ and the $x$-axis.