
Integration 11-51
e x e rcis e s
Integrate the following functions as indefinite integrals:
1.
2 3
1
4
2
x
x
+
+
.
2.
1 2
2
+ sin
.
x
3. 1 2+sin .x
4.
x x
x
4 2
2
1
2 1
+ +
+( )
.
5.
1 2
1 2
−
+
cos
cos
.
x
x
6.
x
x
2
2
1
1
−
+
.
7.
cos
.
x
x
8. sin(3x - 1).
9. (x
4
+ 1)
1/3
x
7
.
10.
x
x
2
2
1+
.
11.
x
x
3
2
25+
.
12. sin
4
x cos x.
Evaluate the following definite integrals using the limit definition:
13. ( ) .x dx
2
2
3
3−
∫
14. e dx
x
0
3
ò
.
15.
( ) .x dx
2
2
3
3−
∫