integral from 1 to infinity of 6/(x^2+1)

Lösung

\int_{1}^{\infty} \frac{6}{x ^{2} + 1} d x

3 π - \frac{3 π}{2}

Dezimale

4.71238 \dots

Schritte zur Lösung

\int_{1}^{\infty} \frac{6}{x ^{2} + 1} d x

Berechne das unbestimmte Integral:

\int \frac{6}{x ^{2} + 1} d x = 6 arctan (x) + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{6}{x ^{2} + 1} d x = 3 π - \frac{3 π}{2}

= 3 π - \frac{3 π}{2}

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