integral from-3 to 0 of xf(x^2)

Lösung

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

- \frac{81 f}{4}

Schritte zur Lösung

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

Entferne die Konstante:

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

= f \cdot \int_{- 3}^{0} x x^{2} d x

Vereinfache

x x^{2} : x^{3}

= f \cdot \int_{- 3}^{0} x^{3} d x

Wende die Potenzregel an

= f [\frac{x ^{4}}{4}]_{- 3}^{0}

Berechne die Grenzen:

- \frac{81}{4}

= f (- \frac{81}{4})

Vereinfache

= - \frac{81 f}{4}

\int_{- 2}^{2} (5 - 3 4 - x^{2}) d x

\int_{0}^{1} 6 6 x d x

\int_{2}^{5} 8 x - 16 d x

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

\int_{0}^{π} e^{i t} d t