MAT266_Test_1_rev - 1 MAT 266 Test 1 Review Techniques of...

1
MAT 266 Test 1 Review
Techniques of integration and improper integrals, sections 5.5, 6.1-6.4 and 6.6 in
Essential Calculus, Early Transcendentals , 2
nd
Edition, by James Stewart.
Find the following indefinite integrals (1-21).
19.
(9 + x 2 ) 3 / 2
dx 21.
Find the exact value of the definite integrals (22-24).
25. Find the average value of the given function on the given interval.
a) f ( x ) = cos
(
πt
2
)
on [0 , 3] b) f ( x ) = 7 e
3 x/ 5
on [0 , 2] c) f ( x ) = xe
- x
2
on [ - 2 , 0]
Use the table of integrals in the back of your textbook to find the following indefinite integrals (26-28):