An object has a displacement from position vector `vecr_(1) = (2 hat i+3hatj)m` to `vecr_(2) = (4hat i + 6 hat j)m` under a force `vec F = (3x^(2) hati + 2y hatj)N`, then work done by the force is

Explanation

`W=int_(r_i)^vec(r_(i))vecF.vecdr=int_vec(r_(1))^vec(r_(2))(3x^2hati+2yhatj).(dxhati+dyhatj+dzhatk)`
`=int_(r_i)^vec(r_1)(3x^2dx+2ydy)=[x^3+y^2]_(((2,3)))^(((4,6)))=83J`