Write a program integrate.c that calculates the definite integral of the function f(x)=x2 from x=a to x=b using n slices. The main function should call a C function called integrate, which would call a C function called f. The prototypes of these functions would look like double f(double x): double integrate(double a, double b, int n); The program will use a for loop to call the function integrate using values of n=2,4,5,16,32,64 and print the approximate value of the definite integral for each value of n. The output of the program should look like: The integral of f(x)=x^2 between x=1 and x=2 is Actual value=. n=2 integral=. n=4 integral=.
Write a program integrate.c that calculates the definite integral of the function f(x)=x2 from x=a to x=b using n slices. The main function should call a C function called integrate, which would call a C function called f. The prototypes of these functions would look like double f(double x): double integrate(double a, double b, int n); The program will use a for loop to call the function integrate using values of n=2,4,5,16,32,64 and print the approximate value of the definite integral for each value of n. The output of the program should look like: The integral of f(x)=x^2 between x=1 and x=2 is Actual value=. n=2 integral=. n=4 integral=.
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![Write a program integrate.c that calculates the definite integral of the function f(x)=x2 from
x=a to x=b using n slices. The main function should call a C function called integrate, which
would call a C function called f. The prototypes of these functions would look like
double f(double x);
double integrate(double a, double b, int n);
The program will use a for loop to call the function integrate using values of n=2,4,5,16,32,64
and print the approximate value of the definite integral for each value of n.
The output of the program should look like:
The integral of f(x)=x^2 between x=1 and x=2 is
Actual value=.
n=2 integral=.
n=4 integral=.
...
n=64 integral=.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F893fbb37-9d24-40f2-b94a-f8cd7cad91bc%2F6a4bdb50-8a99-4d14-b5c3-64432e105d5f%2Flx8zcwd_processed.png&w=3840&q=75)
Transcribed Image Text:Write a program integrate.c that calculates the definite integral of the function f(x)=x2 from
x=a to x=b using n slices. The main function should call a C function called integrate, which
would call a C function called f. The prototypes of these functions would look like
double f(double x);
double integrate(double a, double b, int n);
The program will use a for loop to call the function integrate using values of n=2,4,5,16,32,64
and print the approximate value of the definite integral for each value of n.
The output of the program should look like:
The integral of f(x)=x^2 between x=1 and x=2 is
Actual value=.
n=2 integral=.
n=4 integral=.
...
n=64 integral=.
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