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Beliebt Rechnen >

integral from 0 to b of 1/(sqrt(4-x^2))

Lösung

\int_{0}^{b} \frac{1}{4 - x ^{2}} d x

Lösung

arcsin (\frac{b}{2})

Schritte zur Lösung

\int_{0}^{b} \frac{1}{4 - x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{0}^{a r c s i n (\frac{b}{2})} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{0}^{a r c s i n (\frac{b}{2})}

Vereinfache

= [u]_{0}^{a r c s i n (\frac{b}{2})}

Berechne die Grenzen:

arcsin (\frac{b}{2})

= arcsin (\frac{b}{2})

Beliebte Beispiele

tangent y=7cos(x),\at x= pi/3

y^'=0.4(10-x)(5-x)

derivative of 3arctan(x+sqrt(1+x^2))

integral of x/(sqrt(x+1)+1)

integral of (4x^2-x+1)/(x^3-x^2+x-1)