integral from-1 to 1 of 1/(sqrt(1+x^2))

Lösung

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

ln (2 + 1) - ln (2 - 1)

Dezimale

1.76274 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

\int \frac{1}{1 + x ^{2}} d x = ln x^{2} + 1 + x

= [ln x^{2} + 1 + x]_{- 1}^{1}

Berechne die Grenzen:

ln (2 + 1) - ln (2 - 1)

= ln (2 + 1) - ln (2 - 1)

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