C project for the final examination at high school.
After the function has been inserted (polynomial, trigonometric orexpontential), the programs check the function's properties, es:
- continuity
- monotony
- derivable
- contunuous derivate
- monotone derivate
- derivable two times
- derivable four times
Then it proceeds to calculate one root in the selected interval (with user preferred precision), with one of the following:
- Dicotomic Method
- Cord Method [Both recursive and itnerative, automatically decided by reasoning on the function properties]
- Newton Method
At the end, the program calculates the area of the interval given, with one of the three following methods:
- Rectangle Method [Returns both the superior and the inferior rectangle calculation]
- Trapezoid Method
- Cavalieri-Simpson Method [Parabolas]