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Beliebt Rechnen >

integral from 0 to pi/2 of (cos(θ))/(sqrt(1+sin(θ)))

Lösung

\int_{0}^{\frac{π}{2}} \frac{cos ( θ )}{1 + sin ( θ )} d θ

Lösung

22 - 2

+1

Dezimale

0.82842 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{2}} \frac{cos ( θ )}{1 + sin ( θ )} d θ

Wende U-Substitution an

= \int_{1}^{2} \frac{1}{u} d u

Wende die Potenzregel an

= [2 u^{\frac{1}{2}}]_{1}^{2}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= [2 u]_{1}^{2}

Berechne die Grenzen:

22 - 2

= 22 - 2

Graph

Beliebte Beispiele

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\int e^{- x + 2} d x

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