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

1. ## 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..

2. Originally Posted by holly123
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..
$
then I agree with you - the answer $\frac{85}{3} + 5 \ln 3$.