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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{π}{4} - \frac{1}{2} arctan (\frac{1}{2})

+1

Dezimale

0.55357 \dots

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

\int \frac{1}{4 + x ^{2}} d x = \frac{1}{2} arctan (\frac{x}{2}) + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{1}{4 + x ^{2}} d x = \frac{π}{4} - \frac{1}{2} arctan (\frac{1}{2})

= \frac{π}{4} - \frac{1}{2} arctan (\frac{1}{2})

Beliebte Beispiele

integral from-1 to 0 of-5x(3x^2-2)^3

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

(dP)/(dt)=P(10^{-1}-10^{-7}P),P(0)=7000

\frac{d P}{d t} = P (1 0^{- 1} - 1 0^{- 7} P), P (0) = 7000

integral of (sqrt(25-x^2))

\int (25 - x^{2}) d x

derivative of xsqrt(1-x)

\frac{d}{d x} (x 1 - x)

integral of sqrt(7+x^2)

\int 7 + x^{2} d x