fläche y=20-x,y=sqrt(x),y=1

Lösung

fläche

y = 20 - x, y = x, y = 1

\frac{63}{2}

Dezimale

31.5

Schritte zur Lösung

Um die Schnittpunkte zu finden, löse

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

20 - x = x : x = 16

20 - x = 1 : x = 19

x = 1 : x = 1

= \int_{1}^{16} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{16}^{19} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{1}^{16} x - 1 d x + \int_{16}^{19} ∣ 20 - x - 1 ∣ d x

\int_{1}^{16} x - 1 d x = 27

\int_{16}^{19} ∣ 20 - x - 1 ∣ d x = \frac{9}{2}

= 27 + \frac{9}{2}

Vereinfache

= \frac{63}{2}

y^{^{''}} + 19 y = 0

\int_{0}^{\frac{π}{2}} tan^{2} (x) d x

\frac{\partial}{\partial y} (1 + x^{2})

d er i v a t i v e arctan (\frac{x}{4})

x \to 0 lim (2 sin (x) ln (x))