integral from-4 to 4 of 1/(1+x^2)

Lösung

\int_{- 4}^{4} \frac{1}{1 + x ^{2}} d x

2 arctan (4)

Dezimale

2.65163 \dots

Schritte zur Lösung

\int_{- 4}^{4} \frac{1}{1 + x ^{2}} d x

Nutze das gemeinsame Integral :

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

= [arctan (x)]_{- 4}^{4}

Berechne die Grenzen:

2 arctan (4)

= 2 arctan (4)

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

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

\int_{0}^{4} (3 - 3 x) d x

\int_{0}^{1} sin (π x^{2}) x d x

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