integral from 0 to infinity of 4/(4+x^2)

Lösung

\int_{0}^{\infty} \frac{4}{4 + x ^{2}} d x

π

Dezimale

3.14159 \dots

Schritte zur Lösung

\int_{0}^{\infty} \frac{4}{4 + x ^{2}} d x

Berechne das unbestimmte Integral:

\int \frac{4}{4 + x ^{2}} d x = 2 arctan (\frac{x}{2}) + C

Berechne die Grenzen:

\int_{0}^{\infty} \frac{4}{4 + x ^{2}} d x = π - 0

= π - 0

Vereinfache

= π

\int_{0}^{1} c x (1 - x) d x

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\int_{1}^{9} 6 u d u