MA 112 - Calculus II
Worksheet #1
Professor Broughton
Name: Box #:
1. For each f(x) below find an anti-derivative F(x).
f(x)F(x)
x4
−x2
2x3
−3x2
√x
cos(x)
sin(2x)
sin(ax)
ex
ex+e−x
2. Find the following, including the constant of integration. Show the steps.
Z2x2
−x3dx =
Z2√x−
2
√xdx =
Z4 cos(t)−3 sin(2t)dx =
Ze2x
−e−2x
5dx =
3. A electron of mass m, with no initial displacement or velocity is moving
under a forcing function of the form
F(t) = 2500msin(100t).
Find the velocity and position at t = 10.