integral from cos(x) to 1 of e^{-t^2}

Lösung

\int_{c o s (x)}^{1} e^{- t^{2}} d t

0.74682 \dots - 0.88622 \dots erf (cos (x))

Schritte zur Lösung

\int_{c o s (x)}^{1} e^{- t^{2}} d t

Das ist ein nicht elementares Integral :

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

= [\frac{π}{2} erf (t)]_{c o s (x)}^{1}

Berechne die Grenzen:

0.74682 \dots - 0.88622 \dots erf (cos (x))

= 0.74682 \dots - 0.88622 \dots erf (cos (x))

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