integral from 0 to 3 of 3x^2+x-2

Lösung

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

\frac{51}{2}

Dezimale

25.5

Schritte zur Lösung

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

\int_{0}^{3} 3 x^{2} d x = 27

\int_{0}^{3} x d x = \frac{9}{2}

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

= 27 + \frac{9}{2} - 6

Vereinfache

27 + \frac{9}{2} - 6 : \frac{51}{2}

= \frac{51}{2}

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

\int_{0}^{4} 3 e^{t} d t

\int_{- 2}^{2} 1 6^{\frac{x}{2}} d x

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

\int_{- π}^{0} \frac{1}{π}