AreaUnderCurve

# Area under the curve using rectangles and trapezoids
import warnings

warnings.filterwarnings("ignore", category=DeprecationWarning)


def setup():
    global eq
    eq = input("Enter an equation in terms of x (use Python syntax) ")

    leftEnd = input("Enter lower bound ")
    rightEnd = input("Enter upper bound ")

    leftEnd = int(leftEnd)
    rightEnd = int(rightEnd)

    n = input("Enter the number of rectangles or trapezoids? ")
    n = int(n)

    # Calculating the area using the width of the rectangle

    deltaX = (rightEnd - leftEnd) / int(n)

    # print result
    print("The width is ", deltaX)
    print("Left (Lower) end sum is ", leftSum(n, leftEnd, deltaX))
    print("Right (Upper) end sum is ", rightSum(n, leftEnd, deltaX))
    print("Trapezoid sum is ", trap(n, leftEnd, deltaX))


def leftSum(num, le, dx):
    leftSum = 0.0
    for i in range(num):
        x = le + i * dx
        h = eval(eq)
        leftSum = leftSum + h * dx
    return leftSum


def rightSum(num, le, dx):
    rightSum = 0.0
    for i in range(num):
        x = le + (i + 1) * dx
        h = eval(eq)
        rightSum = rightSum + h * dx
    return rightSum


def trap(num, le, dx):
    tSum = .5 * (rightSum(num, le, dx) + leftSum(num, le, dx))
    return tSum


def main():
    setup()