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Beliebt Rechnen >

integral from 0 to 1 of e^t+4te^t

Lösung

\int_{0}^{1} e^{t} + 4 t e^{t} d t

Lösung

e + 3

+1

Dezimale

5.71828 \dots

Schritte zur Lösung

\int_{0}^{1} e^{t} + 4 t e^{t} d t

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^{t} d t + \int_{0}^{1} 4 t e^{t} d t

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

\int_{0}^{1} 4 t e^{t} d t = 4

= e - 1 + 4

Vereinfache

= e + 3

Graph

Beliebte Beispiele

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

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

integral from-2 to 0 of 1/x

\int_{- 2}^{0} \frac{1}{x} d x

integral from 2 to 4 of 2/x

\int_{2}^{4} \frac{2}{x} d x

integral from-1 to 1 of |x-2|

\int_{- 1}^{1} ∣ x - 2 ∣ d x

integral from 0 to 2 of (6-t)sqrt(t)

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