Infinite integral of the exponential and trigonometric function
Question: Find the value of the following integral: \[ \int^{\infty}_{-\infty}e^{-x^2}\cos 2bxdx \] Answer: Let \[ \int^{\infty}_{-\infty}f(x,b)dx = 2\int^{\infty}_{0}f(x,b)dx \] where […]