Ok, so let's just do this the easy way. We need to figure out if you made a wrong calculation or a conceptual error.
I don't have a calculator on me, so you should evaluate the definite integral you start with from your work and get the decimal answer if you have to. Then convert the two possible answers you have to decimals and see which one is right. If you get the book answer, your work has an error. If you get your answer, then either the book is wrong or you set up the problem wrong.
This is why I want you to explain your setup.