integral from 1 to infinity of 2x^{-2}

Lösung

\int_{1}^{\infty} 2 x^{- 2} d x

2

Schritte zur Lösung

\int_{1}^{\infty} 2 x^{- 2} d x

Berechne das unbestimmte Integral:

\int 2 x^{- 2} d x = - \frac{2}{x} + C

Berechne die Grenzen:

\int_{1}^{\infty} 2 x^{- 2} d x = 0 - (- 2)

= 0 - (- 2)

Vereinfache

= 2

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

\int_{0}^{1} 25 - (t - 5)^{2} d t

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

\int_{1}^{4} (2 - ∣ x - 3 ∣) d x

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