W = ∫ 0 10 x 3 / 2 d x = 2 x 5 / 2 5 | 0 10 = 2 100000 5 = 40 10 {\displaystyle W=\int _{0}^{10}x^{3/2}\,dx=\left.{\frac {2x^{5/2}}{5}}\right|_{0}^{10}={\frac {2{\sqrt {100000}}}{5}}=40{\sqrt {10}}}
Answer: 40 10 J {\displaystyle \color {blue}40{\sqrt {10}}{\mbox{ J}}}
