1. ## IB Maths HL (Integration) Help Please???

A rectangle is drawn so that its lower vertices are on the x-axis and its upper vertices are on the curve y = sin x, where 0 ≤ x ≤ π.

• Write down an expression for the area of the rectangle.
• Find the maximum area of the rectangle...

Can someone help me out with this??

2. Originally Posted by Matricaria
A rectangle is drawn so that its lower vertices are on the x-axis and its upper vertices are on the curve y = sin x, where 0 ≤ x ≤ π.

• Write down an expression for the area of the rectangle.
• Find the maximum area of the rectangle...

Can someone help me out with this??
let's go halfway ... literally

consider the graph of $\displaystyle y = \sin{x}$ from $\displaystyle x = 0$ to $\displaystyle x = \frac{\pi}{2}$

height = $\displaystyle \sin{x}$

base = $\displaystyle \frac{\pi}{2} - x$

$\displaystyle A = \sin{x}\left(\frac{\pi}{2} - x \right)$

determine the value of $\displaystyle x$ that maximizes the area of this rectangle, find the area, then double the result.