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Beliebt Rechnen >

integral from 0 to 2 of (e^x)^2

Lösung

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

Lösung

\frac{e ^{4} - 1}{2}

+1

Dezimale

26.79907 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{1}^{e^{2}} u d u

Wende die Potenzregel an

= [\frac{u ^{2}}{2}]_{1}^{e^{2}}

Berechne die Grenzen:

\frac{e ^{4}}{2} - \frac{1}{2}

= \frac{e ^{4}}{2} - \frac{1}{2}

Vereinfache

= \frac{e ^{4} - 1}{2}

Graph

Beliebte Beispiele

integral of-x^2+2x

\int - x^{2} + 2 x d x

integral of 6x^2cos(2x^3+1)

\int 6 x^{2} cos (2 x^{3} + 1) d x

d er i v a t i v e x + 3

(dy)/(dx)=y(1-0.0004y)

\frac{d y}{d x} = y (1 - 0.0004 y)

(e^x-2xy)dx-x^2dy=0

(e^{x} - 2 x y) d x - x^{2} d y = 0