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

Lösung

\int_{0}^{c o s (x)} e^{t^{2}} d t

\frac{π}{2} erfi (cos (x))

Schritte zur Lösung

\int_{0}^{c o s (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}^{c o s (x)}

Berechne die Grenzen:

\frac{π}{2} erfi (cos (x))

= \frac{π}{2} erfi (cos (x))

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

\int_{- 1}^{1} (x^{2} + 5) d x

\int_{0}^{2 π} cos^{2} (u) d u

\int_{2}^{4} x ln (x) d x

\int_{0}^{4} x y d x