integral from 0 to sin(x) of e^{t^2}

Lösung

\int_{0}^{s i n (x)} e^{t^{2}} d t

\frac{π}{2} erfi (sin (x))

Schritte zur Lösung

\int_{0}^{s i n (x)} e^{t^{2}} d t

Das ist ein nicht elementares Integral :

\int e^{t^{2}} d t = \frac{π}{2} erfi (t)

= [\frac{π}{2} erfi (t)]_{0}^{s i n (x)}

Berechne die Grenzen:

\frac{π}{2} erfi (sin (x))

= \frac{π}{2} erfi (sin (x))

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