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

Lösung

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

ln (5 + 2) - ln (2 + 1)

Dezimale

0.56226 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

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

Berechne die Grenzen:

ln (5 + 2) - ln (2 + 1)

= ln (5 + 2) - ln (2 + 1)

\int_{1}^{2} 3 e^{x} d x

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