Question

The force applied against a moving object travelling on a linear path is given by `F(x)=3x^2+e^x`. How much work would it take to move the object over `x in [2,3 ]`?

Answer 1

Work Done : `W_{23} = 6.30352` Units

Explanation:

Work Done: `W_{ab}=\int_a^{b}F(x)dx`
`W_{23}=\int_2^3(3x^2+e^x)dx=[x^3+e^x]_2^3=(3^3+e^3)-(2^3+e^2)`,
`\qquad\quad` `=19.00000000-12.69648082=6.303519176` Units