Math 1411 Worksheet 5
Compute the following integral. They might involve no particular method, or substitution,
or integration by parts, or various trig formulas, or trig. substitution, or partial fraction
decomposition.
1. Rxsin(x)dx
2. Rt2etdt
3. Rexcos(x)dx
4. Rarctan(x)dx
5. Rsin5(x) cos2(x)dx
6. Rcos3(x)dx
7. Rπ
0sin2(x)dx
8. R√9−x2
x2dx
9. R1
x2√x2+4 dx
10. Rx
√x2+4 dx
11. R1
x2−9dx
12. R4x
x3−x2−x+1 dx
13. R2x2
−x+4
x3+4xdx
14. R6x2
−4x+2
x3−x2+xdx
15. Rx
1+x2dx
16. Rx2
1+x2dx
17. Rx2
1−x2dx
18. R√x+4
xdx (hard - as a hint, try u=√x+ 4