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

Lösung

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

13

Schritte zur Lösung

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

Entferne die Extremwerte

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

\int_{- 2}^{- 1} x^{2} - 2 x - 3 d x = \frac{7}{3}

\int_{- 1}^{3} - x^{2} + 2 x + 3 d x = \frac{32}{3}

= \frac{7}{3} + \frac{32}{3}

Vereinfache

\frac{7}{3} + \frac{32}{3} : 13

= 13

\int_{x}^{2 π} sin (x^{2}) d x

\int_{1}^{3} \frac{1}{1 + x} d x

\int_{0}^{1} 8 x e^{4 x} + 2 e^{4 x} d x

\int_{2}^{\infty} \frac{3}{x ^{4}} d x

\int_{1}^{2} \frac{1 + x ^{2}}{x ^{2}} d x