# The force applied against a moving object travelling on a linear path is given by F(x)= sinx + 2 . How much work would it take to move the object over x in [ 0, (7 pi) / 8 ] ?

W = int_0^(7/8pi) (sinx+2) dx  W = ((-cos x)+ 2x)|_0^(7/8pi)  W = .00115 + 7/4pi 
Work $W = {\int}_{a}^{b} F \left(x\right) \mathrm{do}$
F(x) = sinx + 2; a = 0; b = 7/8pi#
$W = {\int}_{0}^{\frac{7}{8} \pi} \left(\sin x + 2\right) \mathrm{dx}$
$W = \left(\left(- \cos x\right) + 2 x\right) {|}_{0}^{\frac{7}{8} \pi}$
$W = .00115 + \frac{7}{4} \pi$