MATH 180
Homework due 03/23/2012
1. Compute the integral Z1
0
(x2
−x3)dx.
2. Compute the integral Zπ
0
cos(2x)dx.
3. Compute the integral Z1
−1
x3ex2dx.
4. Let fbe the function defined on the interval [0,4] whose graph is the
broken line with vertices (0,0), (1,2), (3,−1) and (4,1). Compute the
integral Z4
0
f(x)dx.
5. Compute the integral Z1
0
e5x+2 dx.
6. Compute the integral Z2
1
7x+ 1
3
√xdx.
1