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Beliebt Rechnen >

integral from 1 to 100 of 1/(1+x^2)

Lösung

\int_{1}^{100} \frac{1}{1 + x ^{2}} d x

Lösung

arctan (100) - \frac{π}{4}

+1

Dezimale

0.77539 \dots

Schritte zur Lösung

\int_{1}^{100} \frac{1}{1 + x ^{2}} d x

Nutze das gemeinsame Integral :

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

= [arctan (x)]_{1}^{100}

Berechne die Grenzen:

arctan (100) - \frac{π}{4}

= arctan (100) - \frac{π}{4}

Graph

Beliebte Beispiele

fläche 4x^2,25

a re a 4 x^{2}, 25

(\partial)/(\partial x)(x^2+2xy+y^2)

\frac{\partial}{\partial x} (x^{2} + 2 x y + y^{2})

derivative of log_{x}(3)

\frac{d}{d x} (lo g_{x} (3))

(x^2-4)(dy)/(dx)+2xy=3x^2

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

inverselaplace 1/((s^2+4)^2)

in v erse l a pl a ce \frac{1}{( s ^{2} + 4 ) ^{2}}