Get Area of Quadratic function

quad.py

def IntDefault(s : str, default : int):
    if s == '':
        return default
    else:
        return int(s)

def QFarea(d : str):

    # Toknization (White Spacing kill)
    d = d.replace(' ', '')

    # Exception Handling
    if 'x^2' not in d:
        if 'x' not in d:
            print('Not available type: constant function')
            return None
        else:
            print('Not available type: linear function')
            return None

    # Quadratic term Coefficient Parse
    s = d.split('x^2') # ['y=-5', '+3x-5']
    quad_coeff = s[0].replace('y=', '')  # ['y=-5', .. ] -> '-5'
    quad_coeff = IntDefault(quad_coeff, 1)

    # Linear term Coefficient, Constant term Parse
    if 'x' in s[1]: # s[1] = '+3x-5'
        sp = s[1].split('x') # ['+3', '-5']
        lin_coeff = sp[0]
        const_coeff = sp[1]
        lin_coeff = IntDefault(lin_coeff, 1)
        const_coeff = IntDefault(const_coeff, 0)
    else:
        lin_coeff = 0
        const_coeff = 0
        
        # Only Const term parse
        if s[1] != '':
            const_coeff = s[1]
            const_coeff = IntDefault(const_coeff, 0)

    if lin_coeff**2 - 4*quad_coeff*const_coeff <= 0:
            print('Not available type: Area cannot be defined')
    else:
        dif = (lin_coeff**2 - 4*quad_coeff*const_coeff)**0.5 / quad_coeff
        print('Area : ', dif ** 3 / 6)

QFarea("y = x^2- 6x")