integral from 0 to 1 of (2e^x)

Lösung

\int_{0}^{1} (2 e^{x}) d x

2 (e - 1)

Dezimale

3.43656 \dots

Schritte zur Lösung

\int_{0}^{1} 2 e^{x} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{1} e^{x} d x

Nutze das gemeinsame Integral :

\int e^{x} d x = e^{x}

= 2 [e^{x}]_{0}^{1}

Berechne die Grenzen:

e - 1

= 2 (e - 1)

\int_{1}^{\infty} \frac{1}{x + 2} d x

\int_{0}^{π} sin^{2} (x) e^{x} d x

\int_{2}^{9} 3 x - 1 d x

\int_{- 2}^{2} (x^{3} - 3 x + 2) d x

\int_{1}^{6} \frac{2}{x ^{2}} d x