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Math Help - IB Maths HL (Integration) Help Please???

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    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??
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    Quote Originally Posted by Matricaria View Post
    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 y =  \sin{x} from x = 0 to x = \frac{\pi}{2}

    height = \sin{x}<br />

    base = \frac{\pi}{2} - x<br />

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

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