integral from 2 to 3 of x/(sqrt(2x^2-5))

Lösung

\int_{2}^{3} \frac{x}{2 x ^{2} - 5} d x

\frac{13 - 3}{2}

Dezimale

0.93675 \dots

Schritte zur Lösung

\int_{2}^{3} \frac{x}{2 x ^{2} - 5} d x

Wende U-Substitution an

= \int_{3}^{13} \frac{1}{4 u} d u

Entferne die Konstante:

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

= \frac{1}{4} \cdot \int_{3}^{13} \frac{1}{u} d u

Wende die Potenzregel an

= \frac{1}{4} [2 u^{\frac{1}{2}}]_{3}^{13}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= \frac{1}{4} [2 u]_{3}^{13}

Berechne die Grenzen:

213 - 23

= \frac{1}{4} (213 - 23)

Vereinfache

= \frac{13 - 3}{2}

\int_{0}^{t - 1} (- e^{- 2 x}) d x

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