Question

Find the area enclosed by the graphs of the following equations.y=6(x√2−x2)2, y=0, x=1 and x=4

Answer 1

we have the functions

`\begin{gathered} y=6\left((√(x))/(2)-(x)/(2)\right)^(2) \\ y=0 \end{gathered}`

Interval [1,4]

Using a graphing tool

The area enclosed by the graphs is given by

`\int_1^46\left((√(x))/(2)-(x)/(2)\right)^2dx=(111)/(20)units^2`

The answer is 111/20 units2