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## Mathematical Operation

F(x)= 5.x^2 + e ^(1/2.x) / 1/3.x^2+25.x+1.6

in the range x ?{A,B}

With a step of B-a/y, e.g. y= 1000.

The range, i i.e. a,b along with the step discretisation should be user defined. The results of the calculation should be stored in a file in the current directory which is also user defined.

in a second independent program, calculate the area (integral from a to b)

f (x).dx for the discrete value of an f(x) passed to the program through a user defined file located in the current directory. The output of the previous program

in a third independent program calculate f`(x)= dy/dx for all values provided in the output file of the first prgram with the assumption that dy/dx= ?y/?x, ?x?0