integral from 0 to 4 of-x^2-3x

Lösung

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

- \frac{136}{3}

Dezimale

- 45.33333 \dots

Schritte zur Lösung

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

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 3 x d x = 24

= - \frac{64}{3} - 24

Vereinfache

- \frac{64}{3} - 24 : - \frac{136}{3}

= - \frac{136}{3}

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

\int_{- 6}^{6} x^{2} - 25 d x

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

\int_{0}^{7} x^{2} d x

\int_{- 5}^{3} ∣ x - 1 ∣ d x