integral from 1 to 4 of 7sqrt(x)

Lösung

\int_{1}^{4} 7 x d x

\frac{98}{3}

Dezimale

32.66666 \dots

Schritte zur Lösung

\int_{1}^{4} 7 x d x

Entferne die Konstante:

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

= 7 \cdot \int_{1}^{4} x d x

Wende die Potenzregel an

= 7 [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{14}{3}

= 7 \cdot \frac{14}{3}

Vereinfache

= \frac{98}{3}

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

\int_{0}^{2 π} 5 cos (θ) d θ

\int_{0}^{\frac{π}{6}} (cos (x))^{2} d x

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

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