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Beliebt Rechnen >

integral from 0 to 1 of (e^x-xe^x)

Lösung

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

Lösung

e - 2

+1

Dezimale

0.71828 \dots

Schritte zur Lösung

\int_{0}^{1} e^{x} - x e^{x} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} e^{x} d x - \int_{0}^{1} x e^{x} d x

\int_{0}^{1} e^{x} d x = e - 1

\int_{0}^{1} x e^{x} d x = 1

= e - 1 - 1

Vereinfache

= e - 2

Graph

Beliebte Beispiele

derivative f(x)=(ln(x))/(13+x)

d er i v a t i v e f (x) = \frac{ln ( x )}{13 + x}

integral from 1 to 12 of 2x

\int_{1}^{12} 2 x d x

integral of (9e^{2t})/(1+e^{4t)}

\int \frac{9 e ^{2 t}}{1 + e ^{4 t}} d t

derivative f(x)= 1/2 x^2+7x

d er i v a t i v e f (x) = \frac{1}{2} x^{2} + 7 x

integral of cotan(x)

\int co tan (x) d x