integral from-1 to 0 of 2e^x

Lösung

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

2 (1 - \frac{1}{e})

Dezimale

1.26424 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

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

Berechne die Grenzen:

1 - \frac{1}{e}

= 2 (1 - \frac{1}{e})

\int_{0}^{1} x^{8} e^{- x^{9}} d x

\int_{0}^{4} (x^{2} - 3 x + 1) d x

\int_{0}^{4} x^{3} d x

\int_{1}^{3} \frac{1}{( x - 1 ) ^{\frac{2}{3}}} d x

\int_{1}^{4} \frac{1}{( 3 - 5 x ) ^{2}} d x