Write C code for the following:

(a) Evaluate analytically integral^1_0 x ln x dx (b) Write a C program to numerically integrate the above using the Simpson rule. Note that the graph of x ln x looks like Note also that In x rightarrow - infinity as x rightarrow 0. So the challenge is how to handle the seemingly singular point of x = 0. (a) Evaluate analytically integral^1_0 x ln x dx (b) Write a C program to numerically integrate the above using the Simpson rule. Note that the graph of x ln x looks like Note also that In x rightarrow - infinity as x rightarrow 0. So the challenge is how to handle the seemingly singular point of x = 0