integral from-1 to 2 of sqrt(x^2)

Lösung

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

\frac{5}{2}

Dezimale

2.5

Schritte zur Lösung

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

Wende Exponentenregel an:

a^{2} = ∣ a ∣

= \int_{- 1}^{2} ∣ x ∣ d x

Entferne die Extremwerte

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

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

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

= \frac{1}{2} + 2

Vereinfache

\frac{1}{2} + 2 : \frac{5}{2}

= \frac{5}{2}

\int_{0}^{π} 4 sin (x) - sin (4 x) d x

\int_{0}^{\infty} \frac{3}{x} d x

\int_{0}^{3} (x^{2} - 2 x - 3) d x

\int_{0}^{\frac{π}{3}} x cos (3 x) d x

\int_{- 1}^{1} x + ∣ x - 1 ∣ d x