Find the coefficient of $x^2$ in the expansion of \[\left(x+\frac{1}{x}\right)^6.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the coefficient of $x^2$ in the expansion of \[\left(x+\frac{1}{x}\right)^6.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
15
Find the coefficient of $x^2$ in the expansion of \[\left(x+\frac{1}{x}\right)^6.\]
train