integral from 0 to 1 of e^{sqrt(2x+1)}

Lösung

\int_{0}^{1} e^{2 x + 1} d x

3 e^{3} - e^{3}

Dezimale

4.13772 \dots

Schritte zur Lösung

\int_{0}^{1} e^{2 x + 1} d x

Wende U-Substitution an

= \int_{1}^{3} e^{u} u d u

Wende die partielle Integration an

= [e^{u} u - \int e^{u} d u]_{1}^{3}

\int e^{u} d u = e^{u}

= [e^{u} u - e^{u}]_{1}^{3}

Berechne die Grenzen:

3 e^{3} - e^{3}

= 3 e^{3} - e^{3}

\int_{1}^{e^{2}} \frac{ln ( z )}{x z} d z

\int_{0}^{x} ln (t) d t

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\int_{0}^{y} cos (1 0^{6} t - 2 y) d y

\int_{1}^{3} (1 + 2 x) d x