In Exercises 27–40, use a substitution to change the integral into one you can find in the table. Then evaluate the integral. x³ + x + 1 - dx (x² + 1)2 x? + 6x -dx (x² + 3)² 27. 28. cos V dx sin-l Vx dx 29. 30. Vx VI dx V2 31. dx Vã 32. · / cot tVT - sin² t dt, t/1 0<:< m/2 33. dt 34. tan t/4 – sin² t

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 29EQ
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In Exercises 27–40, use a substitution to change the integral into one
you can find in the table. Then evaluate the integral.
x³ + x + 1
- dx
(x² + 1)2
x? + 6x
-dx
(x² + 3)²
27.
28.
cos V
dx
sin-l Vx dx
29.
30.
Vx
VI
dx
V2
31.
dx
Vã
32.
· / cot tVT - sin² t dt,
t/1
0<:< m/2
33.
dt
34.
tan t/4 – sin² t
Transcribed Image Text:In Exercises 27–40, use a substitution to change the integral into one you can find in the table. Then evaluate the integral. x³ + x + 1 - dx (x² + 1)2 x? + 6x -dx (x² + 3)² 27. 28. cos V dx sin-l Vx dx 29. 30. Vx VI dx V2 31. dx Vã 32. · / cot tVT - sin² t dt, t/1 0<:< m/2 33. dt 34. tan t/4 – sin² t
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