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//recursive
def sum(f: Int => Int, a: Int, b: Int): Int = {
    if(a > b) 0 else f(a) + sum(f, a + 1, b)
}

//non recursive
def sum(f: Int => Int, a: Int, b: Int): Int = {
    var res = 0
    for(ele <- a to b by 1)
        res = res + f(ele)
    res
}

def id(i: Int) = i
def sqr(i: Int) = math.pow(i, 2).toInt
def cube(i: Int) = math.pow(i, 3).toInt

sum(id, 1, 10)
sum(sqr, 1, 5)
sum(cube, 1, 4)