Writing a java program to solve this question.

Using the function as an input

Exercice Numerical Integration Write a program for Composite Trapezoidal rule to approximate @f(x)dx for given f(x),a,band n. Test your program with f (x)--and [a,bJ-[1.2] Make the output similar to the following table. Use n-1000 for exact solution f(x)dx 10 15 100 Or Error f(x)dx 10 100 1000 10000 Write a program for Composite Simpson's rule to approximate S)dx for given f(x), a, b and n. Test your program with f (?-and [a,b-p.2]. Make the output similar to the following table. Use 1000 for exact solution. Error fa)dx 10 15 100 Or Error f(x)dx 10 100 1000 10000