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Beliebt Rechnen >

integral from 3 to 6 of 1/(sqrt(36-x^2))

Lösung

\int_{3}^{6} \frac{1}{36 - x ^{2}} d x

Lösung

\frac{π}{3}

+1

Dezimale

1.04719 \dots

Schritte zur Lösung

\int_{3}^{6} \frac{1}{36 - x ^{2}} d x

Trigonometrische Substitution anwenden

= \int_{\frac{π}{6}}^{\frac{π}{2}} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{\frac{π}{6}}^{\frac{π}{2}}

Vereinfache

= [u]_{\frac{π}{6}}^{\frac{π}{2}}

Berechne die Grenzen:

\frac{π}{3}

= \frac{π}{3}

Graph

Beliebte Beispiele

derivative f(t)=ln(cos(t))

d er i v a t i v e f (t) = ln (cos (t))

tangent f(x)=e^xcos(x),(0,1)

t an g e n t f (x) = e^{x} cos (x), (0, 1)

(\partial)/(\partial x)(ln(7x^2+y^2+6))

\frac{\partial}{\partial x} (ln (7 x^{2} + y^{2} + 6))

x y^{^{'}} + 2 y = - 2 e^{x}

limit as x approaches-3 of 7/(x+3)

x \to - 3 lim (\frac{7}{x + 3})