Answer
$\dfrac{\delta}{54}(10\sqrt {10}-1)$
Work Step by Step
The formula to calculate the arc length is as follows: $L=\int_m^n \sqrt {1+[y']^2} dx$
Now, $m_x=\delta \int_0^1 (x^3) \sqrt {1+9x^4} dx$
Suppose $a= 1+9x^4$
So, $=\dfrac{\delta}{36} \int_{1}^{10} a^{1/2} da$
or, $=\dfrac{\delta}{54}(10\sqrt {10}-1)$
