integral from 0 to 7 of |x^2-4|

Lösung

\int_{0}^{7} x^{2} - 4 d x

97

Schritte zur Lösung

\int_{0}^{7} x^{2} - 4 d x

Entferne die Extremwerte

= \int_{0}^{2} - x^{2} + 4 d x + \int_{2}^{7} x^{2} - 4 d x

\int_{0}^{2} - x^{2} + 4 d x = \frac{16}{3}

\int_{2}^{7} x^{2} - 4 d x = \frac{275}{3}

= \frac{16}{3} + \frac{275}{3}

Vereinfache

\frac{16}{3} + \frac{275}{3} : 97

= 97

\int_{0}^{1} (x^{3} + x^{2}) d x

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

\int_{0}^{4} 8 x - 32 d x

\int_{- π}^{π} - sin (x) d x

\int_{0}^{8} (- x^{2} + 8 x) d x