"Write a program that can calculate a definite integral of a function" in C. Hints and additional information is included below.

Write a program that can calculate a definite integral of a function. If you haven't taken Calculus 2, a definite integral is defined as follows In C programming language f(x)dx = F(b)-F(a) CL dF where F is the antiderivative off-ief =-If the function f is simple, it's possible to find the antiderivative. For example, if f = 2x then F = x2. However, if the function is more complicated, it's not possible to easily find the antiderivative - this is called a nonelementary antiderivative. For example, if f=sin (r), the antiderivative is not obvious dx In this case, we can use the following approximation f(e+ ian + f(a + (i + 1) i-N-1 f(x)dx = CL b-a This is equivalent to calculating summing up(*Ar) sx goes f(x)+f(x+Ax) Where N = from a to b in steps of Your program should take 4 arguments: function a b deltax where function is1, 2, or 3. If function is 1, f(x)sin (x). If function is 2, f(x)-x2 If function is 3, f(x) sin (2) So, to calculate sin (x) with = 0.0001, your program should do the following: ./integral 1 0 3.1415926 0.0001 integral value 2.000000 To calculate x2. your program should do the following ./integral 2 0 20.0001 integral value2.666667 Write a program that can calculate a definite integral of a function. If you haven't taken Calculus 2, a definite integral is defined as follows In C programming language f(x)dx = F(b)-F(a) CL dF where F is the antiderivative off-ief =-If the function f is simple, it's possible to find the antiderivative. For example, if f = 2x then F = x2. However, if the function is more complicated, it's not possible to easily find the antiderivative - this is called a nonelementary antiderivative. For example, if f=sin (r), the antiderivative is not obvious dx In this case, we can use the following approximation f(e+ ian + f(a + (i + 1) i-N-1 f(x)dx = CL b-a This is equivalent to calculating summing up(*Ar) sx goes f(x)+f(x+Ax) Where N = from a to b in steps of Your program should take 4 arguments: function a b deltax where function is1, 2, or 3. If function is 1, f(x)sin (x). If function is 2, f(x)-x2 If function is 3, f(x) sin (2) So, to calculate sin (x) with = 0.0001, your program should do the following: ./integral 1 0 3.1415926 0.0001 integral value 2.000000 To calculate x2. your program should do the following ./integral 2 0 20.0001 integral value2.666667