WORKSHEET 9.1
NAME _____________________________
USE AN EXTRA SHEET OF PAPER AND SHOW ALL STEPS VERY CLEARLY. To receive
full credit, tell what expression represents u and dv and what the du and v are that go with them.
Box your final answer.
∫e
3x
sin x dx
∫ arctan x dx
3
∫x 5
x
2 3x
dx
3 x2
dx
∫xe
∫xe
∫x
dx
5
sin ( x 3 ) dx
WORKSHEET 9.2
NAME ___________________________________
USE AN EXTRA SHEET OF PAPER AND SHOW ALL STEPS VERY CLEARLY. To receive
full credit, all work must be written out. Box your final answer.
∫ cos8x sin 3x dx
∫
cos5 x
dx
sin x
∫ sin
6
2x dx
4
x tan 3 x dx
∫ sec
1
∫ csc
3
x
Can you do this in two different ways?
dx
∫ sin x sin 3x sin 5x dx
HINT: Group a pair of the factors first.
WORKSHEET 9.3
NAME _________________________________
To receive full credit, you must show all appropriate work and steps. USE AN EXTRA SHEET
OF PAPER and box your answers.
4x 2 − 9
dx
x
∫
x3
∫
∫
∫
49 − x 2
dx
4x
(9x
2
−16 )
3
2
dx
1
25x 2 +1
x
9 − e 2 x dx
x
∫e
dx
2
HINT: Let u = e x
WORKSHEET 9.4
NAME ___________________________________
USE AN EXTRA SHEET OF PAPER FOR YOUR SOLUTIONS. To receive full credit, you
must show all the work that is involved even in preparing these problems for solution. Box your
answers.
4x +17
dx
2
+ 7x − 3
∫ 6x
∫
−x 2 + 5x −1
dx
x 3 + 2x 2 + x + 2
∫
3x 2 − 2x + 5
dx
x 3 − 4x
∫
x 4 − 2x 2 − 3x + 6
dx
x 3 − x 2 + x −1
∫
1− 3x + 2x 2 − x 3
dx
x 5 + 2x 3 + x
WORKSHEET 9.5, 9.6
NAME ___________________________________
USE AN EXTRA SHEET OF PAPER. Some of these are rather tedious. To receive full credit,
all steps must be shown.
∫x
∫x
∫
3
2
7
dx
− 6x + 25
1
(
3
x−5 x
)
dx
x
dx
x −1
e2 x
∫ ex + 4 dx
∫ sin
2
cos x
dx
x − sin x − 2