fun f(x: Double): Double {
    return x * x + 2 * x
}

fun trapezesMethod(a: Int, b: Int, n: Int): Double {
    val trapezeHeight = (b - a).toDouble() / n.toDouble()
    var area = 0.0
    var currentPoint = a.toDouble()

    for (i in 1..n) {
        val trapezeFirstSide = f(currentPoint)
        currentPoint += trapezeHeight
        val trapezeSecondSide = f(currentPoint)
        area += ((trapezeFirstSide + trapezeSecondSide) * trapezeHeight) / 2
    }

    return area
}

fun main() {
    val a = 0
    val b = 10
    val n = 100
    
    val area = trapezesMethod(a, b, n)
    
    println(area)
}