integral from-3 to-2 of 2x

Lösung

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

- 5

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{- 3}^{- 2} x d x

Wende die Potenzregel an

= 2 [\frac{x ^{2}}{2}]_{- 3}^{- 2}

Berechne die Grenzen:

- \frac{5}{2}

= 2 (- \frac{5}{2})

Vereinfache

= - 5

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

\int_{- 1}^{0} (4 x^{2} - x - \frac{1}{3}) d x

\int_{100}^{120} - 0.00006 x^{2} + 6 d x

\int_{0}^{π} (cos (x) + 4)^{2} d x

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