integral from 2 to infinity of-6x^{-2}

Lösung

\int_{2}^{\infty} - 6 x^{- 2} d x

- 3

Schritte zur Lösung

\int_{2}^{\infty} - 6 x^{- 2} d x

Berechne das unbestimmte Integral:

\int - 6 x^{- 2} d x = \frac{6}{x} + C

Berechne die Grenzen:

\int_{2}^{\infty} - 6 x^{- 2} d x = 0 - 3

= 0 - 3

Vereinfache

= - 3

\int \frac{1}{( x - 6 ) x ^{2} - 12 x} d x

\int_{1}^{8} x^{- \frac{5}{3}} d x

t an g e n t e^{x} (7 - 5 x + 3 x^{2}), at x = 0

d er i v a t i v e h (x) = (\frac{2}{x} - 3) (x^{2} + 7)

x \to 0 lim (ln (\frac{1 + x}{x}))