integral from 0 to ln(6x) of sin(7e^t)

Lösung

\int_{0}^{l n (6 x)} sin (7 e^{t}) d t

Si (42 x) - 1.45459 \dots

Schritte zur Lösung

\int_{0}^{l n (6 x)} sin (7 e^{t}) d t

Wende U-Substitution an

= \int_{7}^{42 x} \frac{sin ( u )}{u} d u

Das ist ein nicht elementares Integral :

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

= [Si (u)]_{7}^{42 x}

Berechne die Grenzen:

Si (42 x) - 1.45459 \dots

= Si (42 x) - 1.45459 \dots

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