sin x 1. (0.5-point toward your final course grade): The sinc function, defined as -, is a type of sampling function x sin x used in digital signal processing (such in in telecommunication). Despite its simple appearance, dx X has no analytical solution. Power Series approximation and numerical integration represent two possible ways that you can perform the integration. Here is the extra credit: sin x Evaluate dx = ? X a) By applying a 7th order MacLaurin Series approximation for sin x b) By using trapezoidal rule approximation using n = 50 (Remark: you will find that you have to "play" with trapezoidal rule for it to work. This is one reason why Power Series can be a better method)