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Math Help - Integration By Parts Problem

  1. #1
    Junior Member
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    Integration By Partial Fractions



    For the anti derivative, I got:

    3log[2(1 + x)] + 5log[-2(2 + x)]

    I plugged in the numbers to find the definite integral, but my homework keeps telling me I'm wrong. Help?

    Btw, I got 24.

    Thank you!
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  2. #2
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    Check your work here...

    The 2 in ln(2(1+x)) and the -2 in ln(-2(x+2)) are suspect.
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  3. #3
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    How?
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  4. #4
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    check in details the way you got the anti derivative
    here is my answer
    Spoiler:

    %TCIMACRO{\dint }%<br />
%BeginExpansion<br />
{\displaystyle\int}<br />
%EndExpansion<br />
\frac{8x+11}{(x+2)(x+1)}dx=%<br />
%TCIMACRO{\dint }%<br />
%BeginExpansion<br />
{\displaystyle\int}<br />
%EndExpansion<br />
\frac{5}{(x+2)}dx+%<br />
%TCIMACRO{\dint }%<br />
%BeginExpansion<br />
{\displaystyle\int}<br />
%EndExpansion<br />
\frac{3}{(x+1)}dx=5\ln(x+2)+3\ln(x+1)+C

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