Math230
Homework #04
Due: Thursday 10/9, 11:59am
1. Evaluate the following integrals:
2 x2 − 5x + 2
(d)
dx
x3 + x
1
2
xdx
3
2
4
3
(e) tan x sec xdx (f) tan x sec xdx (g) x 3e x dx (h) x sec xdx (i) 2
0
x + 2x − 3
2
2x
1
4
dx
x
x dx
e dx
dx (m) 2 x
(j)
(k) x3 x 2 + 4 dx (l) 2
(n) 3
x
0 x + 4 x + 13
0
x +x
e + 3e + 2
4 x − x2
dx
(a) 2
x + x−2
5 x 2 + 20 x + 6
(b) 3
dx
x + 2x2 + x
2 x3 − 4 x 2 − 15 x + 5
(c)
dx
x2 − 2x − 8
2. Determine whether the following statement is true or false. If it is true, explain why. If it is false, explain why or give
an example that disproves the statement.
A
B
x ( x 2 + 4)
+
can be put in the form
2
x+2 x−2
x −4
2
A
B
C
x +4
+
(b)
can be put in the form +
2
x x+2 x−2
x ( x − 4)
(a)
(c)
A
B
x2 + 4
can be put in the form 2 +
2
x
x−4
x ( x − 4)
(d)
A
B
x2 − 4
can be put in the form + 2
2
x x +4
x ( x + 4)
0
