Simple integral

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  • #1
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this integral can be solved without u-subsitution however, I get a different answer when I use u-sub.

[tex]\int \frac{6}{x-6} dx [/tex]

[tex]u=x-6[/tex]

[tex]du=dx[/tex]

[tex]\int \frac{1}{6u}=\frac{1}{6}ln(x-6)[/tex]

if U-sub wasnt used, then the answer would be 6ln(x-6)

what am I doing wrong in the subsitution?
 

Answers and Replies

  • #2
James R
Science Advisor
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With the substitution, the integral is:

[tex]\int \frac{6}{u} du[/tex]

not

[tex]\int \frac{1}{6u} du[/tex]
 

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