integral from 0 to 2 of 5e^x

Lösung

\int_{0}^{2} 5 e^{x} d x

5 (e^{2} - 1)

Dezimale

31.94528 \dots

Schritte zur Lösung

\int_{0}^{2} 5 e^{x} d x

Entferne die Konstante:

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

= 5 \cdot \int_{0}^{2} e^{x} d x

Nutze das gemeinsame Integral :

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

= 5 [e^{x}]_{0}^{2}

Berechne die Grenzen:

e^{2} - 1

= 5 (e^{2} - 1)

\int_{- 3}^{9} - x cos (x) d x

\int_{50}^{100} \frac{x}{27 + 4 x ^{2}} d x

\int_{x}^{1} e^{\frac{x}{y}} d y

\int_{- 2}^{1} (3 - y^{2}) - (y + 1) d y

\int_{7}^{9} x^{2} + 2 x - 5 d x