integral from x^2 to 4 of 3x

Lösung

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

3 (8 - \frac{x ^{4}}{2})

Schritte zur Lösung

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

Entferne die Konstante:

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

= 3 \cdot \int_{x^{2}}^{4} x d x

Wende die Potenzregel an

= 3 [\frac{x ^{2}}{2}]_{x^{2}}^{4}

Berechne die Grenzen:

8 - \frac{x ^{4}}{2}

= 3 (8 - \frac{x ^{4}}{2})

\int_{- π}^{π} cos (4 x) d x

\int_{0.75}^{1} 3 x^{2} d x

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

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

\int_{2}^{7} (4 x^{2} - 2 x) d x