Math Analysis

Solve each of the following integrals.
1.
Z
x
3
sin(2x) dx
2.
Z
(3x
3 + 2x
2 + x)e
2x
dx
3.
Z
3x
2
ln x dx
4.
Z
cos(2x) cos(3x) dx
NOTE: You may not use the trig identity to change the above function to 1
2
(cos x+cos 5x)
5.
Z
x
2
sin(ln x) dx
6.
Z
x − 3
x
3 − x
dx
7.
Z
x + 1
x
3 − x
2
dx
8.
Z
x
3 + 1
(x
2 + 4)(x
2 + 9) dx
9.
Z
cos2 x sin2 x dx
10.
Z
cos5 x sin6 x dx
11.
Z
tan5 x sec6 x dx
12.
Z
tan5 x sec7 x dx