integral from 1 to 10 of (29)/(x^3)

Lösung

\int_{1}^{10} \frac{29}{x ^{3}} d x

\frac{2871}{200}

Dezimale

14.355

Schritte zur Lösung

\int_{1}^{10} \frac{29}{x ^{3}} d x

Entferne die Konstante:

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

= 29 \cdot \int_{1}^{10} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 29 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Berechne die Grenzen:

\frac{99}{200}

= 29 \cdot \frac{99}{200}

Vereinfache

= \frac{2871}{200}

\int (x^{2} + ln (2 x) + e^{- 2 x}) d x

x \to 0 lim (1 - e^{- x})

\int \frac{( a + x )}{( a - x )} d x

x \to - 10 lim (x^{2} - 11 x + 10)

d er i v a t i v e y = 2 x - 8