Im supposed to explain the reasoning behind retaining a negative error from a trapezoidal approximation of the function: f[x] = e^4x.
I have graphed the function and it looks like this: Graph of Function
I think the main reason I received a negative error is because the function is concave up and the Trapezoidal Rule overestimates the approximation. Im not exactly sure if this is correct, but if it were to be and someone understands it better than I do, I would really appreciate an explanation.
Thank you for your time, and efforts.