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Beliebt Rechnen >

integral from 0 to 1 of e^x-1

Lösung

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

Lösung

e - 2

+1

Dezimale

0.71828 \dots

Schritte zur Lösung

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

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

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

= e - 1 - 1

Vereinfache

= e - 2

Graph

Beliebte Beispiele

integral of sin(ln(6x))

\int sin (ln (6 x)) d x

derivative of 2*\sqrt[3]{x}

\frac{d}{d x} (2 \cdot 3 x)

derivative f(x)=-4x+8

d er i v a t i v e f (x) = - 4 x + 8

sum from n=5 to infinity of (7^n)/(8^n)

n = 5 \sum \infty \frac{7 ^{n}}{8 ^{n}}

(dy)/(dx)=7^xln(7)+2/(x^2+1)

\frac{d y}{d x} = 7^{x} ln (7) + \frac{2}{x ^{2} + 1}