Find ∫sec(x) tan(x) dx
sec(x)+C
We want to find the integral of sec(x).tan(x). By integrating a function, we are trying to find/guess a function whose derivative will give the function we are integrating. In this case, we want to find a function whose derivative is sec(x).tan(x). We know that the derivative of sec(x) is sec(x).tan(x). So the integral of sec(x).tan(x) will be sec(x).