Area under the curve

Consider the Python code `auc_serial.py` for computing the area under the curve \(y=\frac7{10}x^3-2x^2+4\)  from \(x=0\) to \(x=3\).

This code can be run with `python auc_serial 100000000` (100,000,000 is the number of points it will use).

1 Profile the auc_serial.py code

• Add @profile to the main function.
• Run this through the line profiler and see what line(s) cause the most cpu usage.
• Submit the (text) output of the line profiler.

2 Speed up the python code

• Use either numpy, numexpr, or numba.
• Submit the improved python code.

The deadline is Tue April 29, 2025 at midnight.