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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{π}{2}

+1

Dezimale

1.57079 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

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

= [arcsin (x)]_{- 1}^{0}

Berechne die Grenzen:

\frac{π}{2}

= \frac{π}{2}

Graph

Beliebte Beispiele

tangent f(x)= 1/(2sqrt(x)),\at x=25

t an g e n t f (x) = \frac{1}{2 x}, at x = 25

derivative-(6x)/(x^2+1)

d er i v a t i v e - \frac{6 x}{x ^{2} + 1}

derivative of ln((arcsin(x)^2))

\frac{d}{d x} (ln ((arcsin (x))^{2}))

derivative (140000)/x

d er i v a t i v e \frac{140000}{x}

integral of 1/(x^2-3x-15)

\int \frac{1}{x ^{2} - 3 x - 15} d x