integral from 0 to 3 of x^3+2

Lösung

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

\frac{105}{4}

Dezimale

26.25

Schritte zur Lösung

\int_{0}^{3} x^{3} + 2 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_{0}^{3} x^{3} d x + \int_{0}^{3} 2 d x

\int_{0}^{3} x^{3} d x = \frac{81}{4}

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

= \frac{81}{4} + 6

Vereinfache

\frac{81}{4} + 6 : \frac{105}{4}

= \frac{105}{4}

\int_{0}^{3} 1 + 9 - x^{2} d x

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

\int_{0}^{8} 3 x^{2} - 36 x + 105 d x

\int_{0}^{\frac{π}{6}} cos (3 A)

\int_{0}^{1} 2 x^{2} - x^{3} d x