integral from-2 to 0 of (x^4-2x^3+3)

Lösung

\int_{- 2}^{0} (x^{4} - 2 x^{3} + 3) d x

\frac{102}{5}

Dezimale

20.4

Schritte zur Lösung

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

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{- 2}^{0} x^{4} d x = \frac{32}{5}

\int_{- 2}^{0} 2 x^{3} d x = - 8

\int_{- 2}^{0} 3 d x = 6

= \frac{32}{5} - (- 8) + 6

Vereinfache

\frac{32}{5} - (- 8) + 6 : \frac{102}{5}

= \frac{102}{5}

\int_{2}^{4} 4 x + 7 d x

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

\int_{0}^{0.2} sin^{2} (x) d x

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

\int_{0}^{5} x^{3} - 1 d x