how to solve this integral ? It seems bounded and well defined integral but I don't know how to solve this

95 Views Asked by At

how to solve the following integral ? It seems well defined i.e. bound but I could not solve it. I tried by expanding series expansion of tanh[x] but after that I got a series as an answer, which I could not sum. Is there any other method to solve it? $$\int_{-\infty}^{\infty} \tanh[x] \; e^{-\frac{(x-a)^2}{2\sigma^2}}dx$$