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Beliebt Rechnen >

integral from 0 to 1 of arctan(x)

Lösung

\int_{0}^{1} arctan (x) d x

Lösung

\frac{π}{4} - \frac{1}{2} ln (2)

+1

Dezimale

0.43882 \dots

Schritte zur Lösung

\int_{0}^{1} arctan (x) d x

Wende die partielle Integration an

= [x arctan (x) - \int \frac{x}{x ^{2} + 1} d x]_{0}^{1}

\int \frac{x}{x ^{2} + 1} d x = \frac{1}{2} ln x^{2} + 1

= [x arctan (x) - \frac{1}{2} ln x^{2} + 1]_{0}^{1}

Berechne die Grenzen:

\frac{π}{4} - \frac{1}{2} ln (2)

= \frac{π}{4} - \frac{1}{2} ln (2)

Graph

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integral of (tan(x))/(sec(x))

\int \frac{tan ( x )}{sec ( x )} d x

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\int \frac{2 x}{x ^{2} + 1} d x

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\int \frac{x}{2 x + 3} d x