MA 1021 A `02 Basic Skills Re

MA 1021 A ’02
Basic Skills Re-take Problems
Instructions
This test is closed book. Calculators are not allowed. Work the following problems and write
your answers in the space provided. Use the scratch paper provided for your work. You need
not simplify your answers. (These are the instructions that appeared on the re-takes. To save
space, there are no spaces for answers in this document.)
Re-take 1
1.
Z
(x2 + 4) dx
2.
Z
x x2 + 4 dx
3.
Z
e−3x dx
Z
e
4.
ln(x)
dx
3x
2
5.
Z
1
dx
4 + x2
p
1
0
d
6.
dx
Z
2x
0
u
du
8 + u3
7.
d
arctan(1/x)
dx
8.
d 2
x ln(x4 )
dx
9.
Z
sin5 (x) cos(x) dx
10.
Z
x sin(x) dx.
Re-take 2
1
) dx
x
1.
Z
2.
Z
√
3.
Z
cos(5x) dx
4.
Z
(x +
ln(3)
0
5.
Z
0
x
dx
4 − x2
1
2
1 + e2x
dx
ex
2
dx
1 + 4x2
d
6.
dx
sin(x)
Z
0
u+1
du
u + 2u3
7.
d
arcsin(x2 )
dx
8.
d 2
x ln(3x)
dx
9.
Z
√
3
7
1 + x dx
−1
10.
Z
xe2x dx.
Re-take 3
2
x + 2
x
1.
Z 2
2.
Z
3.
Z
e−4x dx
4.
Z
sin(3x) dx
5.
Z
3
x 1 + x2
1
2
0
6.
d
dx
dx
4
dx
1
dx
1 + x2
Z
x2
0
u
du
1 + u3
7.
d
arcsin(2x)
dx
8.
d
(x + 1)2 ln(5x)
dx
9.
Z
10.
Z
0
3
√
x
dx
1 + x2
x cos(x) dx.