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Beliebt Rechnen >

integral of e^{-((x^2)^2)^2}x^2)^2

Lösung

\int e^{- ((((x^{2})^{2})^{2})^{2})^{2}} d (((x^{2})^{2})^{2})^{2}

Lösung

x^{16} e^{- x^{32}} + C

Schritte zur Lösung

\int e^{- ((((x^{2})^{2})^{2})^{2})^{2}} d (((x^{2})^{2})^{2})^{2}

((((x^{2})^{2})^{2})^{2})^{2} = x^{32}

= \int e^{- x^{32}} d (((x^{2})^{2})^{2})^{2}

Integral einer Konstanten :

\int a d x = a x

= e^{- x^{32}} (((x^{2})^{2})^{2})^{2}

(((x^{2})^{2})^{2})^{2} = x^{16}

= x^{16} e^{- x^{32}}

Füge eine Konstante zur Lösung hinzu

= x^{16} e^{- x^{32}} + C

Graph

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