Arch length of a curve

[Aventura]

Find the length of the curve y=x^5/4 on the interval [0,1] Hint( write the arch length integral and let u^2=1+((5/4)^2)(sqrrt(x))

The final answer come out to be (2048+17sqrt(41))/9375

-After applying the formula for the arc length I get: ∫10 1+ ( 54 ) 2 x‾‾√ ‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ ԁx
Which i then proceed to substitute with u^2 as I was told to do in the problem, I then solved and was unable to get the right answer after multiple attempts

 

[Deleted member 4993]

Find the length of the curve y=x^5/4 on the interval [0,1] Hint( write the arch length integral and let u^2=1+((5/4)^2)(sqrrt(x))

The final answer come out to be (2048+17sqrt(41))/9375

-After applying the formula for the arc length I get: ∫101+(54)2x‾‾√‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ԁx
Which i then proceed to substitute with u^2 as I was told to do in the problem, I then solved and was unable to get the right answer after multiple attempts

Please share with us the answer that you did get.