integral from 1 to 1000 of (21)/(x^3)

Lösung

\int_{1}^{1000} \frac{21}{x ^{3}} d x

\frac{20999979}{2000000}

Dezimale

10.4999895

Schritte zur Lösung

\int_{1}^{1000} \frac{21}{x ^{3}} d x

Entferne die Konstante:

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

= 21 \cdot \int_{1}^{1000} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 21 [- \frac{1}{2 x ^{2}}]_{1}^{1000}

Berechne die Grenzen:

\frac{999999}{2000000}

= 21 \cdot \frac{999999}{2000000}

Vereinfache

= \frac{20999979}{2000000}

y^{^{''}} - 2 y^{^{'}} + 5 y = e^{t} cos (2 t)

l a pl a ce t r an s f or m (sin (6 t) - 7)^{2}

\int \frac{cos ^{2} ( θ )}{sin ( θ )} d θ

d er i v a t i v e f (x) = 2^{90}

x \to 5 + lim (x^{3} - c x)