integral from-1 to 1 of 1.5x^2

Lösung

\int_{- 1}^{1} 1.5 x^{2} d x

1

Schritte zur Lösung

\int_{- 1}^{1} 1.5 x^{2} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 1.5 \cdot \int_{- 1}^{1} x^{2} d x

Wende die Potenzregel an

= 1.5 [\frac{x ^{3}}{3}]_{- 1}^{1}

Vereinfache

= 1.5 [0.33333 \dots x^{3}]_{- 1}^{1}

Berechne die Grenzen:

0.66666 \dots

= 1.5 \cdot 0.66666 \dots

Vereinfache

= 1

\frac{d}{d x} (x^{7} + 7 x^{2})

\int 1 - \frac{1}{2} x^{4} + \frac{1}{24} x^{8} d x

x \to 0 lim (x (∣ x ∣))

t an g e n t f (x) = \frac{6}{x}, at x = 36

x \to 2 lim (\frac{x - 2}{x ^{2} - 4})