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Thread: 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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  2. #2
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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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