用梯形法则在C++中实现复数的积分

class Complex {
public:
    double real;
    double imag;
};

Complex complexFunction(const Complex& z) {
    Complex result;
    result.real = z.real * z.real - z.imag * z.imag;
    result.imag = 2 * z.real * z.imag;
    return result;
}

double integrate(const Complex& start, const Complex& end, int numIntervals) {
    double step = (end.real - start.real) / numIntervals;
    double sum = 0.0;
    
    for (int i = 0; i <= numIntervals; i++) {
        Complex z;
        z.real = start.real + i * step;
        z.imag = start.imag; // 假设虚部保持不变
        
        Complex fz = complexFunction(z);
        double intervalArea = fz.real * step; // 使用梯形法则计算小区间的面积
        sum += intervalArea;
    }
    
    return sum;
}