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Beliebt Rechnen >

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

Lösung

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

Lösung

π

+1

Dezimale

3.14159 \dots

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

= 2 π - π

Vereinfache

= π

Beliebte Beispiele

integral of 1/(2cos(x))

\int \frac{1}{2 cos ( x )} d x

derivative (110)/(x^{12)}

d er i v a t i v e \frac{110}{x ^{12}}

x^{^{''}} = - 9 x

derivative of ((2x^2-x^{-2}/(4x+3))^{3/4})

\frac{d}{d x} ((\frac{2 x ^{2} - x ^{- 2}}{4 x + 3})^{\frac{3}{4}})

t a y l or \frac{1}{x}, 4