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

Lösung

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

- \frac{128}{3}

Dezimale

- 42.66666 \dots

Schritte zur Lösung

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

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

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

= - \frac{128}{3} - 0

Vereinfache

= - \frac{128}{3}

\int_{0}^{2} (3 t - 1)^{56} d t

\int_{1}^{e^{- x^{2}}} (ln (t))^{4} d t

\int_{0}^{\frac{1}{5}} \frac{1}{100 x ^{2} + 4} d x

\int_{1}^{4} e^{b x - b} d x

\int_{1}^{8} 3 x^{2} d x