fläche y=x^2,x=y^2

Lösung

fläche

y = x^{2}, x = y^{2}

\frac{1}{3}

Dezimale

0.33333 \dots

Schritte zur Lösung

Stelle

y

nach

x = y^{2}

um:

y = x, y = - x

f_{1} (x) = x^{2}

f_{2} (x) = x

Um die Schnittpunkte zu finden, löse

f_{i} (x) = f_{j} (x)

x^{2} = x : x = 0, x = 1

x^{2} = - x : x = 0

x = - x : x = 0

= \int_{0}^{1} ∣ f_{1} (x) - f_{2} (x) ∣ d x

= \int_{0}^{1} x^{2} - x d x

\int_{0}^{1} x^{2} - x d x = \frac{1}{3}

= \frac{1}{3}

3 x y^{^{'}} - 15 y = x^{- 1}

n = 9 \sum \infty (\frac{1}{7})^{n}

\int_{- \infty}^{0} 0 d x

x \to 9 lim (\frac{1}{x + 3})

\int_{2}^{3} t t - 2 d t