A body while being acted upon by a force vec(F )(x)=(3x^(2)-2x+7)hat(i) N gets displaced from x = 0 to x = 10 m in the direction of X -axis .Find the work done [int x^(n) dx = (x^(n+1))/(n+1)]

A body while being acted upon by a force vec(F )(x)=(3x^(2)-2x+7)hat(i

1.	A body while being acted upon by a force vec(F )(x)=(3x^(2)-2x+7)hat(i) N gets displaced from x = 0 to x = 10 m in the direction of X -axis .Find the work done [int x^(n) dx = (x^(n+1))/(n+1)]
Answer» SOLUTION :`W = int_(0)^(10) Fdx` ` :. W = int_(0)^(10) (3x^(2)-2X+7)dx` ` :. W = [(3x^(3))/3]_(0)^(10) -[(2x^(2))/2]_(0)^(10) +[7X]_(0)^(10)` ` :. W = [x^(3)]_(0)^(10) -[-x^(2)]_(0)^(10)+[7x]_(0)^(10)` ` = 1000 - 100 + 70 ` ` :. W = 97 J `