Arclength Calculation Process for y=x^3/2, 0<x<5/9

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jnimagine
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this is a really easy question... but seems like i keep getting something wrong in my calculations... - -
Find the arclength of y = x^3/2 0<x<5/9
when i do it using the formula; L = sqreroot (1+(dx/dy)^2)
i keep getting one...
can someone post the calculation process...
 
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