integral from 2 to 5 of (3x+x^2-x^3)

Lösung

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

- \frac{327}{4}

Dezimale

- 81.75

Schritte zur Lösung

\int_{2}^{5} 3 x + x^{2} - x^{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}^{5} 3 x d x + \int_{2}^{5} x^{2} d x - \int_{2}^{5} x^{3} d x

\int_{2}^{5} 3 x d x = \frac{63}{2}

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} x^{3} d x = \frac{609}{4}

= \frac{63}{2} + 39 - \frac{609}{4}

Vereinfache

\frac{63}{2} + 39 - \frac{609}{4} : - \frac{327}{4}

= - \frac{327}{4}

\int_{- l n (2)}^{l n (2)} x d x

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

\int_{5}^{9} \frac{1}{9 - x} d x

\int_{0}^{2 π} cos^{5} (x) d x

\int_{0}^{1} \frac{1}{x ^{2} + 2 x + 5} d x