# The force applied against an object moving horizontally on a linear path is described by #F(x)= cospix+1 #. By how much does the object's kinetic energy change as the object moves from # x in [ 0, 3 ]#?

##### 1 Answer

Mar 31, 2018

The change in kinetic energy will be

#### Explanation:

Recall that

Therefore, if we find

#I = int_0^3 cos(pix) + 1#

#I = [1/pi sin(pix) + x]_0^3#

#I = 1/pisin(3pi) + 3 - 1/pisin(0) - 0#

#I = 3#

Therefore the change in kinetic energy will be

Hopefully this helps!