Use a change of variables or Table toevaluate the following indefinite integrals. Check your work bydifferentiating. dx/1- 9x2 1.Cos ax dr =sin ax + C2. sin ax dx-- cos ax + C%3Daa4. csc ar de1= -- cot ax + C3.ax dx = - tan ax + Caa1csc ax + Ca5.sec ax tan ax dx =- sec ax + C6.csc ax cot ax=adr = + C1+ + C, b > 0, b + 1In b7.ar + C8.h dr =adxdr9.at + x+ C= sin- + C, a > 010.tana%3!a* - xdx11.--- - seC+ C, a > 0xVaaa

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Description: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work bydifferentiating. dx/1- 9x2 1.Cos ax dr =sin ax + C2. sin ax dx-- cos ax + C%3Daa4. csc ar de1= -- cot ax + C3.ax dx = - tan ax + Caa1csc ax + Ca5.sec

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Answered: dx /1- 9x2 1. Cos ax dr = sin ax + C…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter6: Fractions

Section6.1: Simplifying Fractions

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Use a change of variables or Table to
evaluate the following indefinite integrals. Check your work by
differentiating.

1.
Cos ax dr =
sin ax + C
2. sin ax dx
-- cos ax + C
%3D
a
a
4. csc ar de
1
= -- cot ax + C
3.
ax dx = - tan ax + C
a
a
1
csc ax + C
a
5.
sec ax tan ax dx =- sec ax + C
6.
csc ax cot ax=
a
dr = + C
1
+ + C, b > 0, b + 1
In b
7.
ar + C
8.
h dr =
a
dx
dr
9.
at + x
+ C
= sin- + C, a > 0
10.
tan
a
%3!
a* - x
dx
11.
--
- - seC
+ C, a > 0
xV
a
a
a

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