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

Lösung

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

arcsin (y)

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

\int \frac{1}{1 - x ^{2}} d x = arcsin (x)

= [arcsin (x)]_{0}^{y}

Berechne die Grenzen:

arcsin (y)

= arcsin (y)

\int_{3}^{9} 1

\int_{0}^{3} ∣ t - 2 ∣ d t

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\int_{0}^{\frac{1}{4}} sin^{2} (π) x d x