Quandaries
and Queries 

Who is asking: Student Level: Secondary Question: 

Hi, When you first start to study calculus you use a class of functions that are sometimes called elementary functions. These are the functions that can be build from powers, trig functions and log functions using addition, subtraction, multiplication, division and composition. These are the functions that you learn to differentiate. Unfortunately not every elementary function can be integrated. More precisely, not every elementary function is the derivative of an elementary function. The usual examples of such functions are
I am not an expert in this area of mathematics but I am reasonably certain that e^{sin(x)} is such a function. I don't think there is an elemantary function whose derivative is e^{sin(x)} Harley 

