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

Lösung

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

\frac{7 π}{12}

Dezimale

1.83259 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

= [arctan (x)]_{- 1}^{3}

Berechne die Grenzen:

\frac{7 π}{12}

= \frac{7 π}{12}

\int_{0}^{0.3} e^{- x^{2}} d x

\int_{5}^{0} ∣ 2 x - 5 ∣ d x

\int_{0}^{y} 1 - y^{2} d y

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