integral from x^2 to x of (sin(xt))/t

Lösung

\int_{x^{2}}^{x} \frac{sin ( x t )}{t} d t

Si (x^{2}) - Si (x^{3})

Schritte zur Lösung

\int_{x^{2}}^{x} \frac{sin ( x t )}{t} d t

Wende U-Substitution an

= \int_{x^{3}}^{x^{2}} \frac{sin ( u )}{u} d u

Das ist ein nicht elementares Integral :

\int \frac{sin ( x )}{x} d x = Si (x)

= [Si (u)]_{x^{3}}^{x^{2}}

Berechne die Grenzen:

Si (x^{2}) - Si (x^{3})

= Si (x^{2}) - Si (x^{3})

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