What is the area f(x)=x^2[0,1] ?

The area f(x)=x^2[0,1] is Unbounded

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area f(x)=x^2[0,1]

area

f (x) = x^{2} [0, 1]

Unbounded

Solution steps

y = x^{2} [0, 1]

Rewrite

y = x^{2} [0, 1]

in the standard form:

4 \cdot \frac{1}{4 ( \frac{1}{\frac{1}{0 ,}} )} (y - (- \frac{0}{\frac{1}{0 ,}})) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, - \frac{0}{\frac{1}{0 ,}}), p = \frac{1}{4 ( \frac{1}{\frac{1}{0 ,}} )}

Parabola's area is always unbounded

Unbounded

\frac{6 - x ^{2}}{2}

x (x - 2)

2552.01 x^{2} + 15903.7 x - 24891.3

y^{2} + x - 9 = 0

f (x) = x^{2} - 5 x + 6