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Beliebt Rechnen >

integral from 0 to 2 of 1/(sqrt(9-x^2))

Lösung

\int_{0}^{2} \frac{1}{9 - x ^{2}} d x

Lösung

arcsin (\frac{2}{3})

+1

Dezimale

0.72972 \dots

Schritte zur Lösung

\int_{0}^{2} \frac{1}{9 - x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{0}^{a r c s i n (\frac{2}{3})} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{0}^{a r c s i n (\frac{2}{3})}

Vereinfache

= [u]_{0}^{a r c s i n (\frac{2}{3})}

Berechne die Grenzen:

arcsin (\frac{2}{3})

= arcsin (\frac{2}{3})

Graph

Beliebte Beispiele

derivative f(x)=3x^4

d er i v a t i v e f (x) = 3 x^{4}

limit as x approaches 7 of (x^2-4)/(7-x)

x \to 7 lim (\frac{x ^{2} - 4}{7 - x})

integral of arctan(5t)

\int arctan (5 t) d t

limit as x approaches 0 of (x^2+1)/(x^2)

x \to 0 lim (\frac{x ^{2} + 1}{x ^{2}})

derivative y= 1/(x(8+ln(x)))

d er i v a t i v e y = \frac{1}{x ( 8 + ln ( x ) )}