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Math Help - triple integrals..help me find my mistake

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    Exclamation triple integrals..help me find my mistake

    the integral from1 to 3 of the integral from 0 to 5 of the integral from -1 to 0 of (1/x + y + z^2) dz dy dx

    i have done the problem at least 5 times and keep getting the same answer: 5ln3 + 85/3

    but the answer in the back of the book is -20/3 - 5ln3
    why do i keep getting the wrong constant? i've checked it so many times and can't find my mistake..
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    Quote Originally Posted by holly123 View Post
    the integral from1 to 3 of the integral from 0 to 5 of the integral from -1 to 0 of (1/x + y + z^2) dz dy dx

    i have done the problem at least 5 times and keep getting the same answer: 5ln3 + 85/3

    but the answer in the back of the book is -20/3 - 5ln3
    why do i keep getting the wrong constant? i've checked it so many times and can't find my mistake..
    If this is your problem

     <br />
\int_1^3 \int_0^5 \int_{-1}^0 \frac{1}{x} + y + z^2 \, dz\,dy\,dx<br />

    then I agree with you - the answer \frac{85}{3} + 5 \ln 3.
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    thank you, i guess the book has an error
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