Question

Arc length of y= -0.1480x^3+1.353x^2-4.068x+5.651 from x=0.2 to x=5.25

Answer 1

`y=-0.1480x^3+1.353x^2-4.068x+5.651`

`\implies y'=-0.444x^2+2.706x-4.068`

The arc length is given by the integral


`\displaystyle\int_(0.2)^(5.25)√(1+(y')^2)\,\mathrm dx`

which has a value of about
`7.6683`.