a=1

b=4

d(x)=3 + x² / 15

c(x)=2 - x / 4

G

d(x)=3+\frac{1}{15}x^2

c(x)=2-\frac{x}{4}

A = Point(xAxis)
B = Point(xAxis)
f(x) = If[1 ≤ x ∧ x ≤ 4, 3 + x^(2) / 15]
g(x) = If[1 ≤ x ∧ x ≤ 4, 2 - x / 4]
D: (1, f(1))
E: (1, g(1))
h = Segment(D, E)
F: (4, f(4))
H = Point(g)
i = Segment(F, H)
k(x, y) = x
j = OrthogonalLine(E, xOyPlane)
l = OrthogonalLine(H, xOyPlane)
m = OrthogonalLine(F, xOyPlane)
n = OrthogonalLine(D, xOyPlane)
D': (1, f(1), 1)
E': (1, g(1), 1)
F': (4, f(4), 4)
H': (4, g(4), 4)
a = CurveCartesian(t, f(t), t, t, 1, 4)
b = IntegralBetween(f(x), g(x), 1, 4)
p = Segment(D', D)
q = Segment(H', H)
r = Segment(F', F)
s = Segment(E', E)
t = Segment(F', H')
c = Segment(H', E')
d = Segment(D', E')
C = Point(yAxis)
G = Intersect(xAxis, yAxis)
J = (4.5883921969915695, 0.002365694374247129)
e = Segment(C, G)
f_1 = Segment(G, J)
v1, f_2, h_1, h', f' = Polygon(F, H, H', F')
F_0: (4, f(4), 0)
H_0: (4, g(4), 0)
g_1 = PolyLine(F_0, H_0, H', F')
v2, f_0, h_0, i_1, j_1 = Polygon(F_0, H_0, H', F')
D_0: (1, f(1), 0)
E_0: (1, g(1), 0)
v3, d_0, e_0, e', d' = Polygon(D_0, E_0, E', D')
I = (1.04073668100425, -1.6058407979880651)
K = (2.0608676649654223, -1.6058407979880651)