integral from 9 to 16 of 8sqrt(x)

Lösung

\int_{9}^{16} 8 x d x

\frac{592}{3}

Dezimale

197.33333 \dots

Schritte zur Lösung

\int_{9}^{16} 8 x d x

Entferne die Konstante:

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

= 8 \cdot \int_{9}^{16} x d x

Wende die Potenzregel an

= 8 [\frac{2}{3} x^{\frac{3}{2}}]_{9}^{16}

Berechne die Grenzen:

\frac{74}{3}

= 8 \cdot \frac{74}{3}

Vereinfache

= \frac{592}{3}

\int_{0}^{\frac{1}{5}} \frac{1}{1 + 25 x ^{2}} d x

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

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

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

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