integral from 0 to 3 of 1/(1+x^2)

Lösung

\int_{0}^{3} \frac{1}{1 + x ^{2}} d x

arctan (3)

Dezimale

1.24904 \dots

Schritte zur Lösung

\int_{0}^{3} \frac{1}{1 + x ^{2}} d x

Nutze das gemeinsame Integral :

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

= [arctan (x)]_{0}^{3}

Berechne die Grenzen:

arctan (3)

= arctan (3)

\int_{0}^{3} \frac{x}{1 + 5 x ^{2}} d x

\int_{0}^{1} 1 x + 4 d x

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\int_{2}^{5} (2 x - 3)^{4} d x

\int_{0}^{2} (6 x - 6) (8 x^{2} + 4) d x