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Beliebt Rechnen >

integral from 0 to 1 of (x^e+e^x)

Lösung

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

Lösung

\frac{1}{e + 1} + e - 1

+1

Dezimale

1.98722 \dots

Schritte zur Lösung

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

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

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

= \frac{1}{e + 1} + e - 1

Graph

Beliebte Beispiele

derivative x^{10}h(x)

d er i v a t i v e x^{10} h (x)

derivative f(x)=sec^2(x)-1

d er i v a t i v e f (x) = sec^{2} (x) - 1

integral of-16x^2

\int - 16 x^{2} d x

integral of t^2sin(t^3)

\int t^{2} sin (t^{3}) d t

integral of (x-1)^{10}(x+3)^2

\int (x - 1)^{10} (x + 3)^{2} d x