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Beliebt Rechnen >

integral from 0 to 8 of 1/(sqrt(64-t^2))

Lösung

\int_{0}^{8} \frac{1}{64 - t ^{2}} d t

Lösung

\frac{π}{2}

+1

Dezimale

1.57079 \dots

Schritte zur Lösung

\int_{0}^{8} \frac{1}{64 - t ^{2}} d t

Trigonometrische Substitution anwenden

= \int_{0}^{\frac{π}{2}} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{0}^{\frac{π}{2}}

Vereinfache

= [u]_{0}^{\frac{π}{2}}

Berechne die Grenzen:

\frac{π}{2}

= \frac{π}{2}

Graph

Beliebte Beispiele

derivative of cos^2(4pix)

\frac{d}{d x} (cos^{2} (4 π x))

integral of sec^2(2x)tan^2(2x)

\int sec^{2} (2 x) tan^{2} (2 x) d x

limit as x approaches pi of x/4-pi/2

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

integral of (s^2)/(s^3+5)

\int \frac{s ^{2}}{s ^{3} + 5} d s

integral from 0 to 1 of 2x^2

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