integral from 0 to 2 of |x^3-3x^2+2|

Lösung

\int_{0}^{2} x^{3} - 3 x^{2} + 2 d x

\frac{5}{2}

Dezimale

2.5

Schritte zur Lösung

\int_{0}^{2} x^{3} - 3 x^{2} + 2 d x

Entferne die Extremwerte

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

\int_{0}^{1} x^{3} - 3 x^{2} + 2 d x = \frac{5}{4}

\int_{1}^{2} - x^{3} + 3 x^{2} - 2 d x = \frac{5}{4}

= \frac{5}{4} + \frac{5}{4}

Vereinfache

\frac{5}{4} + \frac{5}{4} : \frac{5}{2}

= \frac{5}{2}

\int_{- \infty}^{0} y^{3} e^{y} d y

\int_{- 1}^{1} \frac{x}{( 5 - 4 x )} d x

\int_{4}^{2} 2 x d x

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

\int_{0}^{1} e^{3 y} d y