integral from 1 to 1000 of (17)/(x^3)

Lösung

\int_{1}^{1000} \frac{17}{x ^{3}} d x

\frac{16999983}{2000000}

Dezimale

8.4999915

Schritte zur Lösung

\int_{1}^{1000} \frac{17}{x ^{3}} d x

Entferne die Konstante:

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

= 17 \cdot \int_{1}^{1000} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 17 [- \frac{1}{2 x ^{2}}]_{1}^{1000}

Berechne die Grenzen:

\frac{999999}{2000000}

= 17 \cdot \frac{999999}{2000000}

Vereinfache

= \frac{16999983}{2000000}

\frac{d}{d t} (\frac{sec ^{2} ( t )}{cos ( t ) ( sec ( t ) )})

\int_{0}^{1} \frac{59}{4 y - 1} d y

\frac{d}{d x} (3 cos (x) + 3 x sin (x))

s l o p e (6, - 4), (3, 1)

\frac{\partial}{\partial y} (y^{2} + x y + 3 y + 2 x + 3)